{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Tutorial 1e - Non-Rotationally Symmetric Systems\n",
    "\n",
    "This tutorial demonstrates how to correctly setup a system for which there is no rotational symmetry using Optiland, e.g. folding mirror in a binocular design, or scanning lenses.\n",
    "\n",
    "The following topics will be covered:\n",
    "\n",
    "1. Surface Coordinate System in Optiland.\n",
    "2. Folded Mirror System Design in Optiland - Approach 1 (more intuitive)\n",
    "\n",
    "    2.1 Simple RMS Spot Optimization.\n",
    "\n",
    "3. Folded Mirror System Design in Optiland - Approach 2 (less intuitive).\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "tags": [
     "nbsphinx-toctree"
    ]
   },
   "source": [
    "### February 2025"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "\n",
    "from optiland import analysis, optic, optimization"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**1. Surface Coordinate System in Optiland**\n",
    "\n",
    "In rotationally symmetric systems, all the surfaces are typically aligned along the z-axis (so-called optical axis), and passing the `thickness` parameter to the `optic.add_surface()` method will simply specify the distance between the consecutive surfaces. <br>\n",
    "However, in a non-rotationally symmetric system, the surfaces are not necessarily aligned along the z-axis. To represent this, the surface coordinate system in Optiland includes two additional axes, `x` and `y`. The `x` axis is perpendicular to the optical axis and points in the direction 'inside the screen'. The `y` axis is perpendicular to the optical axis and points in the upwards direction."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**2. Folded Mirror System Design - Approach 1 (more intuitive)**\n",
    "\n",
    "An overview of the design task can be found in the following image:\n",
    "\n",
    "![diagram](../images/tutorial_1e_diagram.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "To design this folded mirror system, you need to consider the following:"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    " - To rotate a surface (say, tilt about the x axis), you need to pass the parameter `rx=...` in the `add_surface()` method. The same applies to the tilt about Y or tilt about Z, and their corresponding parameters are ry, and rz, respectively. The default units of rotation of a surface are radians, which means that if you prefer to specify the rotation in degrees, you must use, for example for a 45 degree rotation about X, the parameter `rx=np.radians(45)`. \n",
    " - You must not pass `thickness` after defining an `x`, `y`, `z` position for a previous surface. Hence, if you want to design systems with coordinate breaks, the best approach is to always specify the location of the surfaces using their (x,y,z) coordinates, instead of `thickness`.\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "lens = optic.Optic()\n",
    "\n",
    "# System settings\n",
    "lens.set_aperture(aperture_type=\"EPD\", value=5.0)\n",
    "lens.set_field_type(field_type=\"angle\")\n",
    "lens.add_field(y=-0.5)\n",
    "lens.add_field(y=0)\n",
    "lens.add_field(y=0.5)\n",
    "lens.add_wavelength(value=0.633, is_primary=True)\n",
    "\n",
    "# Lens data\n",
    "lens.add_surface(index=0, radius=np.inf, z=-np.inf)\n",
    "lens.add_surface(index=1, z=0)\n",
    "lens.add_surface(index=2, z=10, material=\"bk7\", surface_type=\"standard\")  # material in\n",
    "lens.add_surface(index=3, z=15, material=\"air\", surface_type=\"standard\")  # material out\n",
    "lens.add_surface(\n",
    "    index=4, z=25, material=\"mirror\", rx=-np.pi / 4, is_stop=True\n",
    ")  # first mirror\n",
    "lens.add_surface(\n",
    "    index=5, z=25, y=-15, material=\"mirror\", rx=-np.pi / 4\n",
    ")  # second mirror\n",
    "lens.add_surface(index=6, z=45, y=-15, material=\"mirror\", rx=np.pi / 4)  # third mirror\n",
    "lens.add_surface(\n",
    "    index=7, z=45, y=-10, radius=-30, material=\"bk7\", rx=np.pi / 2\n",
    ")  # material in\n",
    "lens.add_surface(\n",
    "    index=8, z=45, y=-5, radius=30, material=\"air\", rx=np.pi / 2\n",
    ")  # material out\n",
    "lens.add_surface(index=9, z=45, y=10, material=\"mirror\", rx=np.pi / 4)  # fourth mirror\n",
    "lens.add_surface(index=10, z=55, y=10)  # Image plane"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Note how we define the translation parameters (e.g. x, y, z) and the rotation parameters (e.g. rx, ry, rz) for each surface.\n",
    "Note also, how we must rotate the surfaces of the last focusing lens (surfaces 7 and 8) in order to meet the correct ray propagation direction. In fact, you can try yourself, that if you forget to rotate this surfaces, some of the ray computations will fail, because it will be assumed that the surface is still in the origin coordinate system (i.e. with rx=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can then visualize both the 2D and 3D drawings of the system we have just designed:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens.draw(title=\"System 2D Layout\")\n",
    "lens.draw3D(num_rays=10)  # Opens in external window when you run the code"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "And we can check its spot diagram (before optimization) as well:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "spot = analysis.SpotDiagram(lens, num_rings=10, distribution=\"hexapolar\")\n",
    "spot.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**2.1 Fine tuning optimization for best focus in the image plane - Simple RMS Spot Optimization**\n",
    "\n",
    "Once the design is finished, we see that the system is still not in the best focus. This means that a simple optimization can be used to optimize the distance from the last surface of the system (i.e. the back surface of the focusing lens) to the image plane (surface index 9). "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "╒════╤════════════════════════╤═══════════════════╕\n",
      "│    │   Merit Function Value │   Improvement (%) │\n",
      "╞════╪════════════════════════╪═══════════════════╡\n",
      "│  0 │             0.00643671 │           99.9334 │\n",
      "╘════╧════════════════════════╧═══════════════════╛\n",
      "╒════╤════════════════╤══════════╤══════════════╤══════════════╤══════════╤═════════╤═════════╤════════════════╕\n",
      "│    │ Operand Type   │   Target │ Min. Bound   │ Max. Bound   │   Weight │   Value │   Delta │   Contrib. [%] │\n",
      "╞════╪════════════════╪══════════╪══════════════╪══════════════╪══════════╪═════════╪═════════╪════════════════╡\n",
      "│  0 │ rms spot size  │        0 │              │              │       10 │   0.005 │   0.005 │          35.94 │\n",
      "│  1 │ rms spot size  │        0 │              │              │       10 │   0.004 │   0.004 │          28.13 │\n",
      "│  2 │ rms spot size  │        0 │              │              │       10 │   0.005 │   0.005 │          35.94 │\n",
      "╘════╧════════════════╧══════════╧══════════════╧══════════════╧══════════╧═════════╧═════════╧════════════════╛\n",
      "╒════╤═════════════════╤═══════════╤═════════╤══════════════╤══════════════╕\n",
      "│    │ Variable Type   │   Surface │   Value │   Min. Bound │   Max. Bound │\n",
      "╞════╪═════════════════╪═══════════╪═════════╪══════════════╪══════════════╡\n",
      "│  0 │ thickness       │         9 │ 13.0626 │           10 │           20 │\n",
      "╘════╧═════════════════╧═══════════╧═════════╧══════════════╧══════════════╛\n"
     ]
    },
    {
     "data": {
      "image/png": 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BdMUD2+maR97lT2zHo1i6d0szp2utLnDwJ7axfybKEwRBEARBEARBEIRUklWKqQceeICuvPJKuu666+jNN9+kVatW0fr166mrq0v3+E2bNtFnPvMZ+tKXvkTbtm2jc845h//efffd0DGjo6P04Q9/mG688caoZV988cXU3t4e+rvpppuS3j7BuGgVTA2leXErmGDtNOr2UUW+g0xmE39iG/tnojxBEARBEARBEARBSCVZpZi6+eabWUH0xS9+kZYvX06/+c1vKC8vj+6++27d42+99VY688wz6dvf/jYtW7aMrr/+ejriiCPoV7/6VeiYDRs20LXXXkunnXZa1LJRTk1NTejPaNlRhMSAgmfTvp64FT1aBZM5AQUTXPDyHVbqGXWTElD4E9vYPxPlTaVtgiAIgiAIgiAIgmD4GFMej4feeOMNuuqqq0L7kJITCqXNmzfrnoP9sLDSAgurRx55JOHy//znP9Of/vQnVkp97GMfo2uuuYaVVXq43W7+UxkaGgqlE8WfkUB7YI1jtHZF4+E3DtJ9W5tZ0QMl0YZj59G5R9ZHPaeq0E4FDgv1jrpYSdQ76uZt7I/WdwvK82jjsQ30p61N1DXiIrPJQZ8/toH3RztvquVNpW1GwcjPcia1SeSjkEykj1ODkfs5k9ok8lFIJtLHqcHI/WzENgmZS9Yopnp6esjv91N1dfWE/djetWuX7jkdHR26x2N/Inz2s5+lefPmUW1tLb399tv0ne98h3bv3s3xqfS44YYb6Ac/+MGk/f39/eTz+choAmt4eJgFMhSFRqd1YIye2r6Pqu0KFRfZaNDl5e0lpSaqK8mNeF6JmWjjmnJ6ckcnuVzDVJNjofXLq6nE7KG+vr6oZa5bkEdLSuZRd+8AVZaXUF1pXsxzplLeVNtmFIz8LKNdmYLIRyGZSB+nBiP3s8jH9GDkZypTkD5ODUbu50ySj4LxyRrFVDq55JJLQv9HAPU5c+bQqaeeSvv27aNFixZNOh5WXVpLLax4zZ07l0pLSw3nAghhjGDwaJvRhLEeuwd6qXGIqKE0n/oDJgpY7dTS76QRyqGysrKo535ybRmtWlJPnUNuqi5y0MKK+LPklZSUUH9JXkL9nGh502mbETDys2y1Zo6oF/koJBPp49Rg5H4W+ZgejPxMZQrSx6nByP2cSfJRMD5Z87RVVFSQxWKhzs7OCfuxDfc6PbA/kePjBdkAwd69e3UVUw6Hg//CgbAymsACEMZGbVs4NcW5lOewUfeoh13kekY9vI398bR/cVURLa5KXT8nUt5022YEjPosZ1J7RD4KyUb6ODUYtZ8zqT0iH4VkI32cGozaz0Zrj5DZZM3TZrfb6cgjj6Rnn312goYa22vXrtU9B/u1x4Onn3464vHxsn37dv6E5ZSQ/SQS7HtRZQFtPG4ev4BgTYRPbGN/tjOdtknAdEEQBEEQBEEQBMHQFlMA5s0XXXQRHXXUUXTMMcfQLbfcQqOjo5ylD2zcuJHq6urYRx984xvfoJNOOol+/vOf09lnn01//etf6fXXX6c777wzdE3E22lpaaG2tjbeRuwooGbfg7ve/fffT2eddRaVl5dzjKkrrriCTjzxRDr88MPT0g9C8njo9QN075YPgn1DEXP+UXOjnoPv18wr5Qx3yI5nBKXUdNo2lT4UBEEQBEEQBEEQhKxTTF144YXU3d1N1157LQcwX716NT3xxBOhAOdQMGlNDo8//nhWKl199dX0ve99j5YsWcIZ+VauXBk65tFHHw0ptsCnP/1p/rzuuuvo+9//PltqPfPMMyElGHz9zzvvPL6mkN3AugcKFQQrbCjNo55RN29DMRNLIYPvjaSQmmrbptOHgiAIgiAIgiAIgpBViilw+eWX858eL7zwwqR9n/rUp/gvEl/4whf4LxJQRL344otTrK2QycAqCFY+UKiYzSaOqwQXNuwXpUp8SB8KgiAIgiAIgiAIsyLGlCAkG7iqwfUMVj6BgMKf2MZ+IT6kDwVBEARBEARBEITpIIopYdZi5EDmqUL6UBAEQRAEQRAEQZhVrnyCkEyMHMg8VUgfCoIgCIIgCIIgCFNFFFOC4UBA7kSUJEYOZJ4qEu3DRO+RIAiCIAiCIAiCYExEMSUYiodeP8BZ4RCQG7GO4FYGix4hc5B7JAiCIAiCIAiCIKhIjCnBMMAKBwoPRVE4Sxw+sY39QmYg90gQBEEQBEEQBEHQIoopwTDANQxWOBX5DjKbTfyJbewXMgO5R4IgCIIgCIIgCIIWUUwJhgHxiuAa1jPqpkBA4U9sY7+QGcg9EgRBEARBEARBELSIYkowDAiijXhFJpOJWvqd/IltCa6dOcg9EgRBEARBEARBELRI8HPBUCCI9pp5pZLxLYOReyQIgiAIgiAIgiCoiGJKMBxQdIiyI7OReyQIgiAIgiAIgiAAceUTBEEQBEEQBEEQBEEQ0oJYTAlZwb7uEXH9mqXIvRcEQRAEQRAEQTAuopgSMp6HXj9A925pplG3jzO4IVg24hQJxkfuvSAIgiAIgiAIgrERVz4h461loJhQFIUaSvP4E9vYLxgbufeCIAiCIAiCIAjGRxRTQkYDFy5Yy1TkO8hsNvEntrFfMDZy7wVBEARBEARBEIyPKKaEjAZxheDC1TPqpkBA4U9sY79gbOTeC4IgCIIgCIIgGB9RTAkZDYJdI66QyWSiln4nf2JbgmAbH7n3giAIgiAIgiAIxkeCnwsZD4Jdr5lXKpnZZiFy7wVBEARBEARBEIyNKKaErAAKCVFKzE7k3guCIAiCIAiCIBgXceUTBEEQBEEQBEEQBEEQ0oIopgRBEARBEARBEARBEIS0IK58QtrZ1z0iMYSEaSHPkCAIgiAIgiAIQnYiiikhrTz0+gG6d0szjbp9lO+wctY1BLwWhHiRZ0gQBEEQBEEQBCF7EVc+Ia1WLlAoKIpCDaV5/Ilt7BeEeJBnSBAEQRAEQRAEIbsRxZSQNuB6BSuXinwHmc0m/sQ29gtCPMgzJAiCIAiCIAiCkN2IYkpIG4gHBNernlE3BQIKf2Ib+wUhHuQZEgRBEARBEARByG5EMSWkDQSpRjwgk8lELf1O/sS2BK8W4kWeIUEQBEEQBEEQhOxGgp8LaQVBqtfMK5WMasKUkWdIEARBEARBEAQhexHFlJB2oEgQZYIwHeQZEgRBEARBEARByE7ElU8QBEEQBEEQBEEQBEFIC6KYEgRBEARBEARBEARBENKCKKYEQRAEQRAEQRAEQRCEtJB1iqnbb7+d5s+fTzk5OXTsscfSq6++GvX4Bx98kA499FA+/rDDDqPHH398wvcPP/wwnXHGGVReXs4ZvbZv3z7pGi6Xiy677DI+pqCggM477zzq7OxMetuMyr7uEdq0r4c/BSEdyDMoCIIgCIIgCIKQmWSVYuqBBx6gK6+8kq677jp68803adWqVbR+/Xrq6urSPX7Tpk30mc98hr70pS/Rtm3b6JxzzuG/d999N3TM6OgoffjDH6Ybb7wxYrlXXHEFPfbYY6zkevHFF6mtrY3OPffcGWmj0Xjo9QN0xQPb6ZpH3uVPbAtCKpFnUBAEQRAEQRAEIXPJKsXUzTffTBdffDF98YtfpOXLl9NvfvMbysvLo7vvvlv3+FtvvZXOPPNM+va3v03Lli2j66+/no444gj61a9+FTpmw4YNdO2119Jpp52me43BwUH6/e9/z2WfcsopdOSRR9I999zDSq8tW7bMWFuNAKxT7t3STIqiUENpHn9iW6xWhFQhz6AgCIIgCIIgCEJmkzWKKY/HQ2+88cYEBZLZbObtzZs3656D/eEKJ1hYRTpeD5Tp9XonXAeugQ0NDQldZzbSOeSiUbePKvIdZDab+BPb2C8IqUCeQUEQBEEQBEEQhMzGSllCT08P+f1+qq6unrAf27t27dI9p6OjQ/d47I8XHGu326mkpCTu67jdbv5TGRoa4s9AIMB/RgLtgRWKXruqCu1U4LBQ76iLFQK9o27exn6j9UM6+1mITCLPoJH7OJPaJPJRSCbSx6nByP2cSW0S+SgkE+nj1GDkfjZim4TMJWsUU9nEDTfcQD/4wQ8m7e/v7yefz0dGE1jDw8MskGHBpqXETLRxTTk9uaOTXK5hqsmx0Prl1VRi9lBfX1/a6my0fhYik8gzaOQ+RrsyBZGPQjKRPk4NRu5nkY/pwcjPVKYgfZwajNzPmSQfBeOTNYqpiooKslgsk7LhYbumpkb3HOxP5PhI14Ab4cDAwASrqWjXueqqqzhIu3bFa+7cuVRaWkpFRUVkNGGMbIZom54w/uTaMlq1pJ46h9xUXeSghRUFaamn0ftZiEy8z6CR+9hqzRxRL/JRSCbSx6nByP0s8jE9GPmZyhSkj1ODkfs5k+SjYHyy5mmDOx0Cjz/77LOcWU8VBNi+/PLLdc9Zu3Ytf//Nb34ztO/pp5/m/fGCMm02G1/nvPPO4327d++mlpaWiNdxOBz8Fw6EldEEFoAwjta2xVVFtLgq5dWadf0sRCbeZ9CofZxJ7RH5KCQb6ePUYNR+zqT2iHwUko30cWowaj8brT1CZpM1iimAVaSLLrqIjjrqKDrmmGPolltuodHRUc7SBzZu3Eh1dXVsCg2+8Y1v0EknnUQ///nP6eyzz6a//vWv9Prrr9Odd94ZuibceaBkamtrCymdAKyh8FdcXExf+tKXuOyysjJesfra177GSqnjjjsuLf0gCIIgCIIgCIIgCIJgBLJKMXXhhRdSd3c3XXvttRx4fPXq1fTEE0+EApxDwaTV7B5//PF0//3309VXX03f+973aMmSJfTII4/QypUrQ8c8+uijIcUW+PSnP82f1113HX3/+9/n///iF7/g68JiCkEpkdnvjjvuSGHLBUEQBEEQBEEQBEEQjIdJQaQ2YUZBjABYXg0ODhoyRgCszmBNJuaeM4f088xj5D7OZBmUyXWbLkZ+pjIF6ePUYOR+zmQZlMl1my5GfqYyBenj1GDkfjayDBIyD2P9egRBEARBEARBEARBEISsIatc+YTMZl/3CHUOuai6KIcWVUr2PSG7ntkF5Xnpro4gCIIgCIIgCMKsQxRTQlJ4+I2DdO/WFhp1+yjfYaWNx82j84+am+5qCUJEHnr9AN27pfmDZ/bYBlq3QJRTgpBNCx6NPSN0sH2Q6gN2zr45lWsIgiAIgiAI6UUUU8K0aR0Yo/u2NhOilTWU5lHPqJsn/GvmlcokQMhIMFHFM4oQe+ozi2d4Sel8KitLd+0EYfYQTWk0SXkctuCB7+/b0kTFZjcNBtpow3HzJy2IxLpGrDoIgiAIgiAIM48opoRp0z/q4UH/3NJ8MptNVJHvoJZ+Jw/0ZZAvZCJ4NvHMQimlPrMH+kf5WRYEITVEUxrpKY+1Cx7q91gRqS5w0MCgMmlBJNY1YtVBEARBEARBSA0S/FyYNqX5dh7QY9AfCCj8iW2sPgtCJoJnU++ZxbMsCMLME640wie2sV+rPIbSWFUeYxv7w7836XwfzzVi1UEQBEEQBEFIDaKYEqZNXUkubTh2HplMJraUwidWncVaSshU8GziGdU+s3iG8SwLgpA8oOTZtK9nkrInltIokvJYXfDQfq9EWBCJdY1YdYjVBkEQBEEQBCE5iCufkBTOPbKe1swvkzgdQtYAdx249Giz8vX19aW7WoJgGKK5yWmVRlAIhSuNVOUxzofyWD1ffbeo3yPGVOeIm0wmB20IWxCJdY1YdYjVBkEQBEEQBCE5iGJKSBoY7ItCavrEE4hXgvUm/5kNBALpro4gGIZY8Z1iKY30lMfhsg7fr24opoPt3VQ/p1I3K1+0a8SqQzwxqgRBEARBEITpI4opQcgg4lmdlxV8QRAyhUhKcr0EA+FJMWIpnuJZ8FhYUUAlZg+VlUU+Jto1otUhnjbIIoEgCIIgCML0EcWUIKSYSBOZaKvzcDMDjT3xreDLZEkQhEx21cskS9tIdYjVBlkkEARBEARBSA4S/FwQUggmMlc8sJ2ueeRd/sS2SjyBeDuH3DGPiVaGIAhCMoiV0U4vwUC2JcWI1gbJ6CcIgiAIgpA8xGJKEFJErHgl8VgYVBc5oh4jMVEEQUg2ehaYyXLVy3QitSGe9gOxXhUEQRAEQYiNKKaEKYMBd8fgGBWQi8rK0l2b7I+5Ei0QrxqYG/FUogXrlcnS9IG7ZNewR/pGEKK4q2WTq9500WuDZPQTBEEQBEFIHqKYEqaEOuB2ur20sIjojH6Fzj+6gWY70425Eo+FQbRjZLI0PV7c3UX3buulEbdf+kaY9cSywIyVVc/ISEY/QRAEQRCE5CGKKSFhwgfc5Bul+7Y205r5ZbN6wJ2M9OjxWhhEOkYmS9OzlHpyRycpikX6RhDisMA0gqvedJhuRj9BEARBEAQhiCimhISZOOAmKs6xUeNwMAD3bB5wZ0rMFZksTQ0Elnd5/VSRn0cm6RtBiMsC0wiueunI6CcIgiAIgiB8gGTlExJGO+AOBBQadHllwK3TL9Firhy/qGJGJ3ORyoi3jrMRBJbPsVmkb4RZCawpN+3rmZBVzgiZ9dJFPH2n1+eCIAiCIAizEbGYEhIm3F1sYZGJNhw7eyYrkQKHZ0PMlXjrOBuDoyOw/Prl1RxjKlPvnyDMBNHizs12d73pEK3vJNafIAiCIAjCB4hiSpjWgFvNynfYwjqaDcSaTGTDJC5WHWfzhOmkpVW0akm9ZOUTZg3xxJ2b7e5600Gv7yTWnyAIgiAIwkTElU+YMhhAr11YTnUluTQbCJ9M4BPb4W4YqXDVmy6R6hhvG41uOZXp908QkoUadw5xkNS4c9jGfmFmkD4XBEEQBEGYiCimBCFOZsNkYja0URCED5C4c6lH+lwQhFRlG363dZA/BUEQMh1RTAlCnMyGycRsaKMgzGbCA25LgPPUE6vPJSi6IAjRCJcRejIDYRm+9be36O5X9vMnthM5XxAEIdVIjClBiEB4APBsCG4+XWK1cTYGRRcEoxApflw2xMYzGpH6fDbH+BMEITbhMmJZTSHt7BieIDMgW3AMKQpVFzhoYDAYlgH7tzX3xzxfZI4gCOlAFFOCoMNsnsDJhEkQjEesgNsS4Dz1hPe5BEUXBCEa4TKidXCMHn2rjeaW5k6QGWQiHqvNK80lk9lLFfl2au4fo20t/RPPH3AGzy/LE5kjCELaEVc+QQgjVgDwbAhuPl3C2yhB0QUhu5H4cZmP3CNBmN3EcqkLlxG5dgv5Agrl2a0TZAZQwzIomrAMQHs+zsP5uE48Mkdc/gRBmEnEYkpIiNngyqW++KGAUV/UcGvDfqO2ORazsU9mw7MuzB608ePw+5X4cZmH3CNBmL1ordKtZhOtW1pJFxzdMGH8ES4jxjx+Ptbp8VFpwB6SGWsaSokUovu2NFHniJtMJgdtgItfQ+mE83Eezsd1ArmR44piPPS311rohd3drMgSq3lBEGYCUUwJcaPnynXuEXVkNGRyMJnZ1ifitigYjdkQIy/bkXskCLMTrVW61WKi5l4n/WFTMz2/u5suOWFhaPyhJyM+vqqWY0Sp22euqOZFNbjjrW4opoPt3VQ/p5IWVxVxOccvLKfndndFPD9c5mA8dOfLjVwnk4loXvkHVvPi8icIQjIRxZQQF5FiX+ClV2Iwh1CZHMzuPkFaZYnzIhjR4m82xMjLdqLdI7HiFARjW6WXF9ipqd3JVkyBAJHXH5g0/sD/EUOK/98Q3K/Khu0t/fTEe5309zdbg0qq5VW0vNyia5F12rKqkEUWzkf8KfWa4WN/1MNiMpHZTNQ24KJlcwqpd8RjaKt5QRBSjyimhGm6crmppGT8DWkgZAI3e/sEz/Rsc1sUZo/FnwQ5z3z07pFYcQqC8a3Su4fd5IMSyGwmi4WoqgAW6h8ogMLlANz1tPICSil1UW1P1zDd/vxeWlVlpV7fAXJ6AlSSZwstuG1u7GPFFAjP1KfKF3Xsz/UY8SDJH9cP9SzMsRnWal4QhPRgMFsXIRWuXAFNIMXqIgcZAb2AjrMhyHmi6PWJ0YJh4pnWf9ZlACZkPpKowHjIPRWE7CfaWEm1SrdbzBRQYCnlp5JcK/U7PaHxRyw5oA2MPubz0+CYl69VlGNji6euYbdukPNo11XH/k6vnzP7eXx+jjGFekaymjfamFAQhNQhFlPCtFy5FlYUUF9fH2UzshI9dYzYd3imZ4vbomA8jJyoIBFXNiO5vRn5ngrCbCCesZJqlX79Y++xNVPHkJtd7hADCr9zKHuiyQHtAjK+9/gVyrWYyW41U1WBlVoH3GzplG8LHqMqvKLJFyxEoq63PLOHumExRUQluTb6xOpa3bGeEceEgiCkDlFMCdNy5QrACd6AsbMkntDs7rvZ4rYoGA+jJipIZMJjtMmRUe+pIMwGEh0r9Tm9HGAc1k3IlofA5LiGxxdgV7rWwTGqK86dJAe0C8h9ox6ymIgKc63ksJjZ4qmywM6WTnoLbuHyBQqxtoExLhf1xPc2q5kqC4OZAOEyuH7lnEnW80YdEwqCkBpEMSUkhNHik8hK9NQxet8Z7VkXZgdGTFQQbcKjKAE62D5I9QF7KOuU0SZHRryngjAbx0pwscN4CYojBBsPX/wKH1cFchX+zT/42gHa1NhLwy4vjbh9NOD0Uk1xziQ5oF1UQyD0J9/roM4RN5lMDvrmaYfoLriFy5egAkyhX7+wj2UNsvjBfW9+WT7XCRZX4WM9yN3ndnVS/6iH5pTk0IDLy4o1CZAuCIKhFVO33347/fSnP6WOjg5atWoV3XbbbXTMMcdEPP7BBx+ka665hpqammjJkiV044030llnnRX6HsL3uuuuo7vuuosGBgboQx/6EP3617/mY1Xmz59Pzc3NE657ww030He/+90ZaqWQKmQleupI3wlCZhDutpZtFn/a+oNYkzVVCY7J2ubGHio2u2kw0EYbjptPtaW5MRXmscrLRCLdUyO5LAqCkcdKCEaOuE9wsVMCAfrZk7t5v9aqU29cBeul53Z3kcNqppW1xdQ64CRfgOjK0w+hdUurIi6qwQ3vjBXVdLC9m+rnVLLiXv0+knyBsuzOlxq5LLV8lI06RBrrqRaqiIfVMeSi9sExslnM7PZXWeCQMaEgCMZUTD3wwAN05ZVX0m9+8xs69thj6ZZbbqH169fT7t27qapqsnDetGkTfeYzn2El0kc/+lG6//776ZxzzqE333yTVq5cycfcdNNN9Mtf/pL++Mc/0oIFC1iJhWvu2LGDcnI+EKY//OEP6eKLLw5tFxYWpqjVwkwiK9FTR/pOENJPJLe1bLH409ZfXal32CxxT9ZyrCaqLnDQwGAwYC8ma9EU5try3F4/mUwmjsGSDS5/4ffUaC6LgmBE8Js9c0U13fbcXg5GbjOZyGMy0cCYlxrK89g1TmvVGT6uWre0kp7Z2cXyDMr2upI8/g5yK56YmSVmD5WVxX4XoGwouf0BJVSWqtg/bVkVx70KH+tpLVTnFOdQxwDOJ0LVTKbg4r8gCIIhFVM333wzK4e++MUv8jYUVP/3f/9Hd999t6710q233kpnnnkmffvb3+bt66+/np5++mn61a9+xedCYEK5dfXVV9MnPvEJPubee++l6upqeuSRR+jTn/70BEVUTU1NytoqpI5ssy7IJKTvBCF9ZLvbmrb+5QV2evvgIJmI6PC6Yo6JEt9kLYdMZi9njGruH+PJWiSFubY8HP926yCv6h9eXzxpcpjpZPu9F4TZxOqGUqoocFB5vp3cvgA19zpJIYW8fmWSVWf4uApAKZQK6/RIlvAXHN3Af9GsWeG+Z7WYyGIxUX1JLre1Z1Rc+QRBiJ/Y6vYMwePx0BtvvEGnnXZaaJ/ZbObtzZs3656D/drjAayh1OP379/PLoHaY4qLi9kaK/yaP/nJT6i8vJzWrFnDroQ+ny/JLRTSiWr2LC/PxJG+E4T0oE0PHp4CPNvqjwkalFImCmaTCk9nDhc9WENdf85K+sWFq3mShAkT3FqGxrz8qU7WMLHDMTgW5+Bc1eVNLQ9loCyUqU4Os7XvsvHeC4LRgIxB5jx8hu+DNWhpvp38ikJFOVZWSkEpbrOYdBVN2nGVqpiHdScUWPicKev0aGXpjfW0iiy0BW2CTIVSCosL+A5t1/aLXj8JgiBklcVUT08P+f1+tmbSgu1du3bpngOlk97x2K9+r+6LdAz4+te/TkcccQSVlZWxe+BVV11F7e3tbMGlh9vt5j+VoaEh/kQGu2zPYhcO2oMV22xrV2MPJiluqi5ysKlzppNN/ZxtfZuNfZwomdQmkY/Jo6rQTgUOC/WOulgx0Tvq5m3sz5S+jCYPtPVHoFxMa/DnsBDvw3fbm/voyR2dIXe1DcfOo+MWlPH5y2oK6PG3WsnsCVDbqJnOWlVHC8rzuO343NbUR/dt/cDVbf3y6lB5eTaUF+wju6Y8vb7LRJmW6nsv8jE1iHzMTh5+4+AEWQM5BbT7ltUU0q6OYf6tVuTbWOnTNxJUSm04tiEku/Q494g6Wt1QPEEOxdNvU+njRMpCnTce28DtRFuqCuxcHtqIdh1aU0C/eHp3qA8OHe8DbT+de2Q9ZTtGepbDMWKbhMwlaxRT6QRxrVQOP/xwstvt9OUvf5ljVzkcjknHY/8PfvCDSfv7+/uz2tKqdWCMM25g1aeuJDcksIaHh1kgw4ItG3hxdxdPdFxeP+XYLDxZOUkngGQmkS39nI19G62P9Z75bATtyhSMKh/T8bstMRNtXFMe/M25hqkmJ/ibQ0yRvr4+yhR5MOLyksVsppMOqaBz1tRPqv9jb7fRmMtPK8stZDET2QJjVJRjoWPml9Kr+1qp2q5QcZGNBl1eemr7PlpSago9M0fVOqgmT6Eap4m332ls5d8qfrs4Vnvu9n2t9LGlpfRqUz+5vB5aXm7m9OsWzyjV5Nh0++6RbQfpxT095A8EqGD8mEyQaam+99nyDpoKIh/Tg1GeKT1Z86/X97DlULXdHNqHe/i14+vJajHzmAJoxxfq7zbSuAO/+ZISXDX+3/hU+1ivrEj1Wrcgj5aUzg99p7bL5w/Q3944GOqX7lE3vds4xAHRD6l0TJDn2Ty+MtKznOnyUTA+WaOYqqioIIvFQp2dnRP2YztS7Cfsj3a8+ol9c+bMmXDM6tWrI9YFrn4YICDT39KlSyd9D4sqrTILK15z586l0tJSKioKZsUwwmoQVjkgjLHqg7ZlgzDGyve923pJUSxUkZ9HHYjLsa2XVi2pz5iVcD2yoZ+ztW8j9XGkZz4bsVozR9QbUT6m83f7ybVl/BvLNIseVR70jvhpaMxPHr+P3uxoI48lj76ybnHoOMXupA6XlYZdRIU5Vvr4ylpa1VDKbUGb/vp2P5UXOKhnRCGbxUG9wx4aoaDLS+MQ0bzSAvJbvGR22Kixf4y/g3Xz7oFe/j783IsW1NG6VQs5o9+Le7rZ3cTmN9OHV9TRJ9d+UC/wmxf20u0vtZFfgVWViYpyzdSZQTItlfc+G95BU0XkY3owyjOlypqG0nzqD5goYLXT+73ByfzS6uC+kYCZDvSP0UDAQeeurp9kjTkQsPPvN9K4I9xqU7sNIn2nKAE6OKxQfYGdFpUVxX1e+Pb25oGI4yEcN0IK1c8pDskg7Ht+Vxft6gvQ4soC7oOBANHeQTfZ8xxkDTi4n+AuqMrsbMYoz3Kmy0fB+GTN0wYrpSOPPJKeffZZzqynCgJsX3755brnrF27lr//5je/GdqH4OfYD5CFD8opHKMqojAI2Lp1K331q1+NWJft27ez4NHLBAhgRaVnSYVzslFgcZDVrS28sjy3ND8YZHVrC62ZX8ZmvBDG2dK2Lkxq3H4O1Ggym6g8P4dfjNi/uCqz65/p/ZzNfRvex/t7nRGf+WyMpZVJz4zR5GOqf7dqrCRtAFqkAV+cfiOeCeB33+f00sCYj0wmM+XZTTTq8dNDb7bR+sNqPwhGvrWFbFYLHVIdDOD9xI6u0Pcm0wi5fQq9dXCIrQ/U9OM1xcHV9TwHVuE9VGY18Se28R36Gp/Rzt28v5/LXVQ8uVyAuqGuPsVE+XYLeQNKsC1mc0bJNL17r/eMzIZ30FTJpPaIfMw+IFNUWRQMGO6h/Bwbyx3s8yLYeZ+TM/Ld9fJ+jsKEOHjIqnnXy4007PKxUv4Tq2vpifc6J407ukbcvF/rErhz3B0O8Zs8Pj9bpOIaq+eWTPiOlAAtKCIaDLTToTVFE76DdQ/GajazmZZWF1DroEu3DGRAxSesocLHQ0++204PvdFK3kCASvPsHI8KIBFDv9NDPSMe8isjdEhVITk9Ab7PeA+UBIj7SSuzsx0jPMt6GK09QmaTNYopgFWkiy66iI466ig65phjOKPe6OhoKEvfxo0bqa6ujk2hwTe+8Q066aST6Oc//zmdffbZ9Ne//pVef/11uvPOO0NCBEqrH/3oR7RkyRJWVF1zzTVUW1sbUn4hCDoUVSeffDJn5sP2FVdcQZ///OdZMz4b0Gbd0KaPxX4oprKJSBlHZiK7yWzDSH0b7ZnPRsWUYAwwkcGAX508YBKACU4mgt89JjwIMl5gN3OAcbsFn4HQ7yie3xlPnsaDokO9pKYfV4P03reliTpH3GQyOWhDWEDgSOfGUy7+j7oG6wyLKxONeALcpkyWadn0jAiCEdBmDd3bPUI2i5nOP7KOqgpz6M6XGzkDn8lENL8ij+UJjqsodNCtz75P3ZBdRNTn9NA9rzRxCARYGKlyaW/PCCt+8h0Wzlza2j9G/9w+TA1lubz9ZvMA+QMKWTlOnpn2dY+yhVMZjh0YI5Oi0OISOw2OeunRt9pYdjlsZjrY76aAopDNHEw2sb9nlMrybXR4XQk19o7SP7a1UW1JDi0oz6emvlHqHvGwu51WXt754j6+pmpRGggorGiDlHVYzbSYY1Mp1Dfq4X6BYgvZVHd3jIS2ZyqIuyAI2UlWKaYuvPBC6u7upmuvvZaDk8PK6YknnggFL29paZmg2T3++OPp/vvvp6uvvpq+973vsfLpkUceoZUrV4aO+e///m9Wbl1yySU0MDBAH/7wh/maOTnBgSdWrqDQ+v73v88BKaG8gmJKa2ptdIykcNBLO54NL0aYRR9sH6T6gJ1XyDORbO1boz/zgjFg66ItzaxcgUKFV623NHNa8Uz8jXHa8yPr6Lbn9vIKOSZkuXYzT9p4JT+O3xmUQw6bhQ6vK+bJEyY/2vTjULggSO/B9m6qn1M5QTZGOzee3zfqaBuv85gnwG2wmIjblIn9nY3PiCAYATVr6NHzS+mp9zppxO2jf25vo4tPWEiXnLiQbn5qD9WX5VKhw8aKGoyPtjT2UtdwMJOdw2oht89PA2NeqrGZ+XeLZBDdw2429YSC3OM3UVO7k9xeuEUrNOb100jfGPlghkVE/gCRXwlwOoeuIRf1j3pZhkEx1THopu5hE7n8CnUMudgiyz0ug3F9KLZwld5RL73bNkgjLh95/AE+FvWoLHTQwf4xtvpqKM+jMY+frahe2dvLVmAF4xalg2NeVuLju7rqQlZiwVIKyrWNa+ex5Rj6Bf0DxRX6S82YKvJJEISsU0wBuO1Fct174YUXJu371Kc+xX+RgNXUD3/4Q/7TA9n4tmzZQrOZaAqHbMzWgMkMBuoz4eqQCPG6W2AFHFYBxWY3DQbaaMNx8yOugM+UC0e29e10MZKSTTAGmWjFF0veXHryEv7Eij/cOuCyAvulm5/eQz3DbpYX0X5nqgIJcaAiKZAQ0wQBv8vKJpYf7dxYv2/V6ggTKNQZVgyVhbmslFLblGhfzNZnRBCMiPp7397Sz252CPYNRQ40PFaLiYZcXraIuv6clWwdBWVOvi2oDIe8KcpVp18mmHbyp9lkouMXldOmfX20p3OEvy3JtfI8pbnXzQofBE73+v3UMRRUWqmM66cY/PYDUFIhsQNnHTWRX4HFaFAJhYykqmIKii3V1RnAMgrHm024pkIH+oLyEfSOeqjf6aWqQgeddVgNPf5OxySL0lIrlPmWCUp/uPgtqSqkax55N2Qh1u9X6N7NzazIUy2njDB2FARhlimmhPRgFIWDCuqfzjbouVvo9a+6Ao4RRXWBgwYGlQkr4NrJ0Lbm/oxw4Uh33yYLoz3zQnaTaVZ88bqMQZGzvLaYfvjYDp6wleTZ2BIALh/4fUX7nU1HQRzr3EjlQqaibrAYgOvNgNNLPr9C135sOa2LkI0vU9znMu0ZEQQjov7eOYbSsJvK8u0c3wlyAuA35wsE2CKqZ8StK4cge+7f0sLKntEAYuYqVJpno48cVkvbDgyyG11VgYMV6+0DLlYomclEFouJqgvtbN0ExZGqVNJ+Ws3mcUsqWC9B+URkgaZp3JoJ1k1QPsHyCkfhKyiwcAq2cWx5vp1jhsIyy+MLKqPqS3I53hUsSdcuqqDnd3fTmMdHY15YlAbYovQzx8xlF8bw9qIfVAsx1M/l9Y73lYUtPG95Zs94vynigiwIsxhRTAmzSuGQCavaeu4WWFnDKpM/7KWsroDPK80lk9lLFfl2au4f4/1aRRQGEliRw6QvU1w4MqGvp4sRnnnBGGSSFV+iLmN2q5ljrOBvZ/swpxHHJAiZ8b571rKov7PpKIhjnatXLurU1OvkyRoC92KCiHqjDcnoi9nyjAhCtqM3htEqrvMwZlOIhsZ87Das4mdPgg/skCLJoW+edgj99Mld1Dfq5cPtVgtt3tfD48D5Zfls+ZRnt7KLH6w2bVZTSFmVa7dywHG468H1zu0PsDtfZaGd40K1Do7xAkBtUQ7NLTWT0wQ3PjdVFzqoJM9OTo+PYz/B/Q4CDq51+IOFKI5ZUFFArQNOGnb5EZ2PXfLU+rAr4r5eHnMOu/2sICvOsdL/+/CCkEVpeHsfeuPAeO+YxvtnfMtkYguuPSMe7i3VuixchhphPCkIQmxEMSXMGjJlVTvc3QIKKZhtYwKEwYh2YqNdAS+3mkIr4BiMaCdDCE6J1ag5JTkZ4cKRKX0tCEYiU6z4VBmG4LsDLi/LsN6RYPwm9Xtt/fB/rNQjCDA+kUGKAgF6bncXferouTHbMR0FcSLnYvKDOrEFgdnM8hV1nleWN8HqSDtJitYX4k4tCNlJpDGMVnEN1zsTKaykggWSxRyM9QSLJOyvLLDTmobSCXIIsmPTvh7+beJ3CiVRnsPKcZygkHlhdzcvNIa7wp25oppdBjnjn8NKl528mK/Llls2z4TMejimLN9BH1pUQbs6hsjpdVNRroOOWVDOmfaGx9v03RMXUdewa0JWPTUbn6rYPmdN3Xi5H9QHMhxyEguhGHNCAQaXvvUr50RUIqEf0B+wEFPdBtFfsDTD2BXKuP5xV0H0LRRgqgyV8aQgzB5EMSXMClK9qo3ytrX0h17I2jLC3S04wCURr4SFK5WOX1Shm3kKq/da5RbObRtw8bW0cQzCXTjUAQMUW7jGTExcMsmCQBCynfBBfiZY8aEukCFvHxwM2QVUFjhC8VbCJxCoL7Ix/WFTM/RRZLEQK3swgcuk+EeoCyZIqBsmeH5/MPwL6h4ef0ptIyaMen2RTvc57TMilgaCkJwxDKx5tIpr/NpZnpmJRt1+mlOcSx6fn78ryLHSJScsnPCbC5cdaxeWseuaah2FsRvGfqcvq6ZNjb0TrB4hR6H4maTwCVNCh//e93YNTUgOoScPwq8bfky4ax7k4TM7u3isqq13uCV/+DsAFmLIUggLL1hNwUIMSnwITVilwo4qz2pmi7BhVzB4u4wnBWF2IYopYVaQyqCwGHzANQ+rQACrRHghqys84e4WWGnCMXgZY5UIL16smLUNjPFLOTzzlMlkZqWXdlUN5+IauFYkFw51UNQ+MMZBfQtzbFRTnJP01ScJwCsIySGTV4oxUYAiBjYDmFlgQoaMS1B4600gLji6gWOSIMOU6o5iN5kyKv6RumiAti2vKQzFU0Hdgd4kCW1G27V9ge8zgUx+fgQhU4k0hnm/a3iS4hrff2J1LX1iTd2EbKLhimA92aFnHYXfKaxI8Rd+Hb1FifB94dvhySGmco1wK0ywubFvUr3DLfnD3wF618H/Mda98d+7yOUNkAvZUM1myrGZ+V0i40lBmF2IYkqYFaQqKKwafwCZRxDkEVMVmC5jlUi7woP/8xxm3KJKXWXCCxfpgOF3/+sX9oUmE+ceUceDixf2D9C9W1v4RY1BgNPtIyeyvTisrPzCdbWWWtp64fouj49f/pg2IcaAyzvZl3+6SABeQZg+mbxSjEkBYqocXlfMAXThxnKgf4zjkywdTxMePoHAHywI0AbVHSXT4h9pFw1QRyjvtXXUmyTt7hxmCwltX+DcdE+cMvn5EYRMQc+CKNIYBpnloEhCPKcF5XnsEgfF9SUnLZqk2AknkoJFzzpKq4jKFMKVVXqx7MIt+fWUSHpKMNyDOSW5PD6Fe6TqaqiOGWONJ8UqVBCMgyimhITI1hdAqoLCom8wOYPOyWG1sB/IWMDEpsuR/OWhJVJXkqBUuuulRn7Bqy9hHAuLqdGhMbpvKyYaFJpoQDl18YkLQ+6CkVbI1UFRocNKfsXFwSaxMoV4KNq6JQOjBODN1mddMAaZslIcbeIGqydVTsF1BXIv2gRiOvGPwt2jAba7h1xUZfdSWbmfFwHCv1e34y0rWh31JqyIkcKKfk1faNudLjmSKc+PIGQqkcZLkcYwyMCHOFBaa/jL1i2O+HvS/vYjKbsiWUdlOnpyEu2NpESKJgfV/kZmvm649nGmQBMv2KKcaONJsQoVBGMhiikhbvReALDkyRZSERQW18VEpc/pIbfPzxZTyGiCSZv6co62io26IeZA7bjvvjqZ2N4yQCND/ZyeeFHFRIuE2pLc0KAg0rVDE0mPjywmE0+iEMASg6yZsGbK9gC8MtgR0k0mWB7GmrjBEhQWQ2o8FRBLIZ1ojCzINQQc/se2gzQw5uN9yIYFOYd05kogQAuLFdo/1EhkMrNFQ64NWQBNbE0KSnKt9Mk19XEFWo9WR70J68Xj7Q7vi3QH7c2E50cQMpVYYzE9t7MrHtg+KeA3W7/roPfbj6ZgybYxUiTrJ702Roo7pQX9iO9sVnMoELx6PyKNJ8UqVBCMhyimhLiI9AKAJU+JfhbtjCQZgYNjrfxgooIYUx3IUKUQleXbQhMVZGOJtoqtN5mAVRTcA8utHuodRtBI4tS94RONaCvkahB1TJ4QuBP3Mc9u4xTEepPHZKzyZ0KQ5qnQ2CODHSH9pNvyMJ5B/7g3cugzWQpp1Trqtf299GpTPx3sHyOfX2H3aCjUB5ze0LEc1UkhCvCfQlaLiQbHfGzFlGczczr3rmEP/f6V/fTkjg46Zn4ZHb2gLCErKi16bcQkNLwv0j1pSvfzIwiZTDwWhdoxTPjYTRvwW2/8pPfb/8WFq6ckH6czHsN45mD7INUH7Bz8PBGmUm4khV4sOaguyoYHgte6gofXQaxCBcF4iGJKiIvILwA3lZSoQ/HMJhnKljuef39Cal29lR9sIwXvX149QG5fgFfYVKBkwiSqdXCM6opzJymXwicTmIThhe6wmvn4llE3u6vs7RkJlR8tLoJVE0Qd4E7hmLICO52xvJqD+ob3hbrSB+ssBKE8/8g6uvTkJbPGHQ7PtAx2hEwgnZaH0Qb9ADICLseIKQV5dscL+zhr1bqlVdOqp5o8Aop9KKOgSFdB4GHEdNGGFrdqFkaCUf2CmfF422QiL1uuEgUCCrX0Oampx0kPb2ulmqIc+sapS6ZkwaSdJL2wu4vbDoUY+kKdeKEi6ZYj2W65KgiZYlGYyPGRZCeU7bBwT+S3OB2rS5yLjM7FZjcNBtpow3HzEzo3Gdae8SqPpmLhKVahgmA8RDElxEXkF4AD6hbKdJLxkoVS6rbn9vIKPALcYqKjt/IDZQxSpkMhpY0TBWUV9iMNLrLiYdVfzYoXKQMKlEoIgo7rmMxetpR6v3uUNq6dR6ccWh3VjDqoBFP4fLi3wDQadVInT8iqomab0tYd5/eOuGlwzMvBfNFmkKhyKlvd4fBMy2BHyBTSZXkYbdCvnWx0DAflFJTwP3xsB8dhSfR3Drnz1Hsd1Nw7Qi+/38vKd+SOgOMeLKFU8H+fPxCySgKwIFVRxv9U5RSOVRPk8XXG/w95iAQVP31qN724p4uOX1xBnzlmXsJ9BBkHpdSBficvHuC6NYU5LH9BJsiRbLVcFYRMsiiMdnz4Alwky/c7X2pk5Xq846HpWF2q50IAVhc4aGBQf7ya7HLDx31nrqiOKge1fZeohadYhQqC8RDFlBAXkV4ASEXb19dHmUwyXCpwDVhKYXJTYLeQN6Cw4gYrQOErP3orRLBwwvn5DgutrC2m1gEn+QJEV55+CFsYRJpMaINJlluDaYVL8+2TlFIq2iDqGARhsoTym/pGOWAnYiNEW7XCNiyl0DZYGxTYzTTq8XPd16+ck1B/Zas7HJ5pGewI6Sbd1oaxBv3YhqUUlFJwwcixWth6KZHfuRo/6v5XWzhphKqDgpVUUY6NPH4vK5bYasoEqyci6KGgYP8gxpRCJlPwGATMxfHFuVaWX1gAUK8HIL/xf9QVMq7T66bH3u6gf73dQfdvbaarzloed3+rMg5txvVgRXugzxmaeHIAdiV2zK3Z9EwJQiY994laFEZy42UL81EPW3OqFuaRLN+1i5Wx5OR0XNXUc+eV5vKiZkW+nZr7xxI6N9Fy9cZ9WIyFcgqfWjkIfvL4Tnpud9cEZR3cHRORUbHuocg8QcguRDElxI3eCyCAmUKGkww/dBzr9Qc42KV3PNbJiCfArm7hK+B6q2U4DudX5AfrUFeSx3WAK0w8k0OYY3eOuMlkctCGOFaRUF+87FE+yqsqcFDbgIsDdsJ3P9LqPbZRV1hKQSmFtgbbHEi4v9LtxjIdxAVGSCeZYm3IgX3HlTramEyqXIK1ECyloJipL81l97h4f+ewQIW7c/tgMLYIgNIoGCuKyOUNpmKHpQFkCK6vjQ81OStfuW5WPm2cqoBfYasmJIFQlWAWWF0R0Tutw3TZn99kF+l43Je1Ms5iNvP1XT4/ux9uPCEoo/GnyhG0A/IeE6V0yJNMeaYEIZOe+3gtCrUKDsTsDLcwHxrzkccfmGBhrmf5nsh4aDquatpz1UXNqZybSLmRxn2rG0p5YVPtPwRDv/RPb1BTr5Nl/ryyPFZmqco6bf/GMwaLdA9F5glC9iGKKcHwbgHJ8EPHsbBUQnBdDEBgRQRXE0xg1MCY6stTz9IAx2HFKN46aF/IeJGWF9ipua2D5tXWUEN5/oTy4mkzsvAhtTGUTHqr9xPKO7KOB1doI44vyrVy2xPtr0xwY5ltz7qQ/WSKtWH4oB6anHBrA8SUgvse9OtQSsX7O1fdoqH4VpVS4TGivIFg/KiqQnvEjHrq4gisdsvKyshsNk/6/vwj507K7AdFe6g8VRtGxG7WkHvxuC9rZRza7g8E2Ar22o8tn2AFizrEk5VqNjxTgpBKkvXcR1JwsIX5qIfHhCDfbqGRMAvzcMv3RMZD03FVm8qi5nTLjTbu0/YFrgslHkQvlPqtgy5aXoMQE56Qsm66SiWReYKQnYhiSjA8U3nJhq/UaK8BdxHVZLuqMIczjoS/PPUsbnBsPHUIfyEvqymkXR1DHMCy6bUenkM5bJaoL2u9Nn/ztEN0rYD0BgBfO2VxMMi7P8BKqUhKrKnEYxAEIbOtDfUG9cjoCU2O1nIKChjElErkd45g4fdtbmGFFCZyQxoXPjUelM1CdNHx8+jQmqIpZ8/TgvO/e9YyVm7BimpLYy/LN4DFBhVYU6FOw24f13F5bbGuq3U0Gacer8pJWEqle4KUCc+UIKSaZDz3+B1D9mEsBMtzLPKpv1+2MIdVpz/AcgMhHhB/FG694dn9pjoemo71Ns5F5uyD7d1UP6cyoax8Uyk3nnaq96Sy0EE9Ix6Wi34/UdeImwpzbFyW9v0DF0R8h3uQiMwUmScIs0Qx5Xa7aevWrdTc3ExOp5MqKytpzZo1tGDBgpmpoSAkgURespFWasKvgXgibC1gMelOOMItbqLVIdIkBjFcHn2rjRpKc2huqZV62p2kkIkOrysODZBgtQAXkXjjJ4SXG14e3HOw6n+XxvQ6mhIr0iqWuMMZD5H/M086rQ1VOQTXE+2g3usLUHOvk25+ag/LG+3vPpHfOSyl7tvSQl0jLlZCubx+yrWZyQnzKCiJoJQyE527pp6uPntF0tunymRYUbX0jtJrTQMTgqvn263k9PjZDRrJKq56+B3acFxDRMupSG3Xykm0E5ZYiC0YnqErVbLRCBas2YDIx8wiGc/9315rYdlnMZlYkVJXnMMKKPx24XKmWpjDUgpKqeJcG7sDh5eRiJyMtfiXSNwkxMwsMXuorCwxd8Wplhurneo9QTKe2pIc7lvISCj4VCUWPAIgO21mE+3odZLfr5BfUfheIA5gPIjMEwSDK6ZeeeUVuvXWW+mxxx4jr9dLxcXFlJubyyb0eBkvXLiQLrnkEvrKV75ChYWFM1trQZgh16xY5r/qX7RsTNFWZPTqEG0Sk2u3sGVBnt1Kfr9vPNyLiWNA4WX7XvsQK8cQ/Hcq8ROiZde6dN2iCdeaimm0uMMZA5H/qSNd1oZaOYRgvW6vn3/jeTYLNfc5WcbUl+XyhCL8dx/rd85WBy/uo0e2BxNIIDQhrocJHpRRkKHHLiil5bVFdNzCiohWSsnkb1/5EP3l1WZ6t3WQrb5eer+HLaWglIIJF+qFmHy3PLOXY1dd81F9RVl42/WU/QjCjoQXiC2IPkXf3vVSY9BqLAWufWLBOrOIfMxMpvvc47f8wu7uYHIFc9CiE7JwblleSMGhKq3ZwjwQYKVUpDLiGQ/pWczv7BiOuI2yprMAqCqbtrf0c7iJRMqNJLOitVN7TxCPD/Gl1i2t5AzR6jloB8bU6Gu4+qHv8c7Avbjg6Phi9InMEwQDK6Y+/vGP05tvvkmf/exn6amnnqKjjjqKX7oqjY2N9PLLL9Nf/vIXuvnmm+nee++l008/fSbrLWQAeKF1DI5RAbmorIwynnhWe7CKjUkKJmCRzH9jZWNKZEUm1iQGk0BMEgfGvFRiDQRX901Bc3EcCyVWSa41NOFJ1EVEXVWKJ7tWpGyDz+3q5O+nu7KXKTT2jFDXsCer6jyTiPxPPam2NtRTOjs9JlZS9454WO7Mr8ijQoeNkyck4hKBidZdLzdSY/coyxdYSMH6ANfGhANyZMPayFZJM8lnjglmhwpZc21uYUspKKUwMYKbH+p83+ZmKs+3x1XHcDlZV5xLA04vx59Cv+G6yBgIK9faBDJ0TRexYJ0ZRD4aK/OeFpyD3/+88jxOHuPzB8dgpyytCsVLwjGIJ6UN7j1V5VAki/m5pbm625Adtz77Pi9gYvyJsWK4kiceZRQyMWPcW5Zvp0OqCuMqV5VZaj8l0m69e4I6aWOnoo/v2dTEGimrxUzzynNZkZWIK55k7BMEgyqmzj77bPr73/9ONptN93usBuHvoosuoh07dlB7e3uy6ylkGOqqjtPtpYVFRGf0K3T+0Q2UqcTjgoZj4MeO1fE+p4cHIwj+Ha5sUpVXeElHysYUD3gpQqmD4JmLKwtCk5ieETcNu/ys9MHq22F1RfRe6yA5eFBkYuupNgyY/Arl2CyslIpXURRpVUkvu9be8fqpx4WbRu/pGqa+UQ/du6mZHnurfVKfZmNGlBd3d9G923o5DX221HmmEfmfHlJpbaindIZL2yUnLuTvYd0DWRgIKAm5REwIdGtmnTq5fAEqdFjZNaOiwEE3nHtYSiykYgGlE2JKwX0PllJq7CkkucD/tAGNE3UhqSnOoStPP4SVUVPN0JUMxII1+Yh8NE7mvUi/ZSiKls0pZLkAOYhYdcka38RrMR9pe0/nCLvEQbbALe4Pm5rp+d3ddMkJC3Xro5anVUbBPbtzKJhZcAzu1THKVWUWEkpsauydUh9o74leX6KPn9/dxe8OxKPCIq3DakrYFS/Svc/G8akgzAai56of58tf/nLEl244y5cvp1NPPXW69RIymPDVdbxN79vazPuzob5qWlptfdVj4FKyoDyPXeaaepy8gqU1/+XV/5eCyqu3Wwf5WnOKHTS3NI/jMsX7YsN1EDT93s3NPNjZdqCfDg44aUfHEL+AFVLIZjbT0fNLyeVTWFk0vzyf5pfncR1RLv4QowXn4NztBweoe8jNiiJcG2XEA+qMuqMNaAuUUlA6QUGG+qnXUpVYWO2HAgxKKQxqoFQL79N4+jwTLaWe3NGZVXVOBSL/U4e6apzqZ06rTNEqnxB4HPGYLj5hIf/uMRnBZ7wuEVDitw+O8f+tZjPHDMHkC0ovrO4jflMmKKVUUBfUCQkuYBmB9wBiCEI5BXn31HsdMa+hlZPa/sK1EZMGfarX16mMfZKu58yIiHxMLzM51tD+lmE5iuDckIUgGWWG1x2yRrWYh2xQLeadHh9vDzq9LJMGnB7ebu0f40/IVVh04VhYo+J4LDYi0YQWbGO/y+PjsZtfIVZGuTx+zpCHBVaMKcfGtzEGHHF5J9UDMgvbz+3uSnofqNcB6Gv0Ofo+kffOVMsUeSgIWZ6Vb2RkhFM1aykqij/rg5CdTFxdJyrOsVHjsC9js13Ek50j/BgEsDzQP0YXn7iQJ2balxlWpuDWgtWp/b1Otqy6dN3CuCdY2pdiHjK5+ANsRTAwFnwpwjVvWU0Rv/yf39XN3y+pzKciu5dKAiZq6hviFTLsg0ILK134AxhM5DksoRdtvO4h2uxasJQKKZ0qCiaYbaum0bCkggJMtfQK79NszIiCPsSgrCI/j1PIZ0Od04nI/+SSzhXcWPE4puIOg/b87Knd1DOMlXkPyyYofDD5qi7Moc8eOzct7nuxQJ2w8AD3PVhKIfCujy29vHTLM3uoqWeUbjx/VdRrROuvdMc+EUuB1CDyMTXM9FhD77esBueeapmRkkxo3X4xDkNAcLjmtQ646N22QVZaISNz57CbA7HDigkyqokDiCtkswRDS2AsB6XTNY+8Q2etrKGzlhbR397eS/dtOUDdIy7KtVmpODeofEL5LX1OtsCHOyDiOiHDIKyjukc8/FdZYOd67O4Y4XohUzO2n9nZNcnyM9GkDtHu30y5H2fj+FQQZgsJK6b2799Pl19+Ob3wwgvkcrlC+yEUodH2I++nYGi0q+uV+XYa9Hgp3xFM85qJxJOdI/wYZLyDeTNWt1X0lFcH+8bY3UVVXsWD6gpYXmDn89WVeYuZeEACK60xHxQkDlZWYXCCepVbTdQ97OFrIG0xjsGxNH6uPxAMzolrLqzK5zJQVqL++Kx02tzMSim9l7Z6PbjvRerTbMyIUl3kYNfIDvR1fk5W1DnViPyfGaaSWCDZRIr7od1OxE0ZcaX6nV6WTZifQ87h/59cU0eXnLQooycACHSOmFKQgx1DbpbPcCNBG/65vY0+cticmAsRekHR1b5MV7ynTHjOjIzIx9STirFG+G95OmXqJZmAhRQUQbBIgtsvLOV5UTIQYKVUcNvHCiEorxp7R6l9wMULlA6bmfZ3jxISm3oDwefLN+6CDAXWHzY10SvvmWhXX4BXLiHDoOAa9eCoYJIHlzfAsf8KC+zsqoh61Zfa2YUPFv2wmNrHZQR4PHrmimp2a4bLYFPfKI9HMWbGePTOlxpD8VbjUXrH6suZcD/OxvGpIMwWElZMff7zn+eX7N13303V1dX8shVmF+ErvguLTLTh2MzNdhFrhVqdMOBli0CQkVaxw19meFmHK6/iGZTc/sJeftl3jwRdOQAUQDlWM416/JxxD37+GLggxhTq9eR7HdQ5gvgGVl69wiAA5+BY/ALzrBZy+gJ8PVj97Gof5sAotz+3lz8T8fuPpXTS61ME9EWwynj7PBNBWuX1y6s5xlS21DnViPyfGTJlBTda3A/IodUNpXEpUoLWAC6OW4cnJKh4DyrzP7GmbsrBgacTWDjRc2E5NeTy0l0v7yebxURePxRssFBQ6I+v7I/LQjZSxit1wpZq2ZIpz5lREfmYetIx1phqmXqK4a5hP1slIaYdBy8/pJJea+qnfIeFrbe1lvPzyoKLhSV5Nra2Ksm1kRvx+8IeM2zCytPqV/i6sMiHJMYCAeK3YNSJRUwor1SwD9cdHgtmJp0/bgkF3jowyEoq1YIesgxgDNw17GZZD0t/KK0QakIdN8aj9M6m+ycIQgYqpt566y164403aOnSpTNTIyErUFd81ax8hy2so0wm0gp1IpOvZKQeRgYVKKQwDPD5g4MBwAOEcTcXjAXgSqemHUbdz1hRTQfbu6l+TiVtbxnkOuAYzvCEqZIpGAcFq18w4Q74Mcghah9ycZmJrIjH2061T//2Wgun8X16ZycHwlTrnI1ZoE5aWkWrltRLVr4IiPyfGTJhBVerwAHaCRRizt323F4OVo5V+1gr4c/u7ORVeVInQfgLKFQwhTZNx/Vsum5rxy2soD+80kxubyAkq8F/9vZwFr9oroihIMOjHo7Voma8mm5Gq2x/zoyMyMf0kI6xxlTK1CqG2eLdH2A5WVXo4EVOKHp2d46wEkobJkFrOa8uiqrZmiFbVKt7m4VYgc4bSlA5FR5IWHUuxX5cMzBudQ/5hvAUc4pzJpSFRVQAqyhtkh0kg4Aia05JTsiqChZTUGAlqvTOlvsnCEIGKqaOPvpoOnDggLx4BRbkCBTe19dH2YCea0X46hVWgpCZCS8r9ZxkuWDArQ6rS1h9z7fbaczjY4sCrIy5fQoPRqoLHfTZYxsmKcdgzVNi9lBZWQEtrioK1QEr8fdvbeEVN6zOFuZYeKAD66tcu5XcvuCKViIufSC8nUCbyleb3nhzY1/E1OfZmAUKfb24Kq68ELMOkf/GXMENV+Acv7B8wgRqcMzLkx+4tyGbXrSVcMiGR7e3TVDk0PhcCQr2RNo0HdezZLitwSrquIVl9MKengn7MZe755WmiFn6tGWjzyCD0Yeqi/Z0M1pl63NmdEQ+zjyRLCBnYqyhHedgjKOOhfTcm2NZZuJ7WDnBGumd1gFOAAGLd2yrVkaBXIWVPlrFED5Vy3mtRf/HV9WyZRXGkFBSwQLKyplT/ayQigWM+fxK8FzIdAhsnHbG8mpaUlUYkhFw7VOt9OFuiPogMQ/Gq7DoghIKsg3ZqXGBoYODrNwCuCzajLZH6pPwvlQTM2j7Wtv/ybzHkZ6Z6VjoCoKQYsXU7373O/rKV75Cra2ttHLlyknZSA4//PBpVkkQZpZIgScxCHivfYh++NgOfmnj5b+sppB2dgzH7YIR6YWG/Xu7hskfCJDJZCYrp083k9VC9JV1i6iqMPgShltgPC9C9YWKLE+YHEHxBLqGXXTrM3v52hgVYDKJgc/rTb2Trh3r5auWET5p1fYJBh5QhK2YUzStAJhCdiDy33gruGqmJlhYqgocZFvChAX/V12GHRYzx2DLtVmiroQ/+V479TmDsfBg/Tk+56HKIgddcHRDylzPkuW2ds3HVtA7v9lEvaPeCfH8ED8LWfq+um5x1LLhlo3JHVxuVBdtNaMVJqQ4BjFmcA9gNTHTWQrFUmDmEPlonMD9alkdgy4adnnZ2hO/VywAQkmiLT9WvdTv2wfGWG4gaDlbOMHi3WKitkFXyGJKTwmlXg9jPe3vFrL7v/62nYbHrVNxfjyMG1SxdRUs7lGPAoeFygqCMhrX1sqIbc39E5TZ5x9Zx/XD+wEWUrC0gkxDRueD/U7OaM3JLswmuvHfu2hOSW7EPtH2GVD3QRkFxT4UbxhjIjsf4m/NtAJfkkOkHsTe83qD71fBmOBdaLFYZkYx1d3dTfv27aMvfvGLoX0Q1BLcUcgG8NJBUN5hF7KbmMnrC4RWploHx3gAAl/5upLgZOHRt9poblleXCvukV5o6v4DyHwSwGp7gF1DMBHES3/9Cv1V93gJX7W7f0sLZ5Ua9ik8oQR/f7ON/vN+L33ztEPiGkhFsjpAH3GflOaGJlToM+xHUE70EYJ53v78Xm5jYY6VU/7Ki90YiPyfWVJtYQg5AIXIgX4n5VgtZDGbeXKBCchpy6rYGpJdhk1ERblWVkpFc//C9f6y9QArbjD5UV1M8HfyIZUJt206rmfJcltDnU9fVk0PvH6QtxGnhWO4BBT685YWqixwTJJv4WWj79CPqou2NqNVx5CL2gfdnKodiyJIWpEKyylRSCUfkY/GCNyvloV4nQhIjlGU0+2nIZePFy0Pry9mJRCOgUIpWr1C1/L4OMi4Gg8Kyi0oc+DGB8UUktbgWpGUUHpjPbjxwUoKzxYWOSGYsBDJVlCILxWhfabxBYOiHCv5/AG2sEJ8008sqZjgLaAtN1yZjcVUtAv1xrXml+dRSV7QOlTx+YNhJkwmbjPartcn2j678+VGlqvoFyQGevvgYNAKDL8f9D/3n39GkzVIcojUgn7u6OiggYGBdFdFSAElJSVUU1MTM/Ziwoqp//f//h+tWbOG/vKXv0hwRyGr0MZ4UleMMNHKcwR4IoaXIFbFoJTCSg/MljH5iMdnPtILTR204MWMdLxYmcI1seoOqya47SXbNBnKp189v5cnm8BhMZHNamFlFV7+sQZS0awO0BeoP/qG0xuX5AVXAP1KKAg6Bjhjox7uY1hOJBrjSshcRP7PHKl2H1BlFuLawRIAGZfgjgGrTihVsHKOP23w7mjuX+r1IBegdFeVU/g/4itdfNKilLqeJdNtDXV/fncX9Y3LOmAzEVksJl3ZGV52eYGDPqdx0QZQ+kGxD6UU+h73APcilRMhcVlJLiIfjRG4Xy2rIMfKyvU8m4XHNQB31OtXQuW/3zUctV7qtQodVvIrLh5z+gK+YGxQxcQXnFeex9mdtVbt0ZTH6sIilNgYfyE7H5RCg04PNfeNUb7dQgNjQSsqPdQFg8pCOxXkBK36sHCKIOuIF6q3WBleH9XyEtbxyMRns5pZcYTxIVz90DT0GwKvY7wIq67wPtH22e7OYb7u0upCGnB5Q2N0n6Jwe3AdjD9HXB9cJ9lIcojUoiqlqqqqKC8vT+SlQVEUhZxOJ3V1dfH2nDlzkquYam5upkcffZQWL55svi7MXhp7RjI+YLQ2xpPDirhOWA3zc/ryVXNL2HT45qf3hFa5sUKDlSesjMH3P9qKe6QXmjpoUQclsCCCr35dSQ5bM2Gikmx4MGEiuuHxXTTihgm6jZfHxgImfqnHGkhp0ctEiD5B35QG7LwfZtpXnn4Ir3S9dWCAbnnm/Ql9PJUYV6lEnZxVFdqpREJLRUXkv3HcB7QyCwplTExgtQOrTriSqAoLuAurLsPRlBj4Dm4vkA1mk5n8yANlIqouzqFvnnrIlH//03E9S5bbGs779vpDWbbBBRyWCCaziXpHgkF/9WRnpLK1WWARQBh9DqUULHNrCnNSNhESl5XkI/LRGIH71bLw24aFE8ZssNyBkgTKEoxv1PIRjylSvdS4UpCvkIsWk4ldenE+nPkQ2wnxpC6BVfmRc+OOd6UuLNaX5fLiH+QuQHY8ZA6FR0A8tPSNkcMarC9nmc4nXmxEG+BZgHFktPASIWWVEnTBw+In+qso18ZyBf0GJRW33WwKxZvSu5dQAkItoboHqmGy0O/c/+Nj8ZlM1iDJIVIHrEdVpVR5eXm6qyPMMLm5ufwJ5RTueTS3voQVU6eccgpnHpEXr6Dy4u4uundbL424/VkywB23Yx5fk6ksdPDEC2AFSrvCjgCTiKcUa8U90gsNFlgoasAJd5gPXrBwmSl1WGbshYfBREWBnUY5wHowTQsGQWYTYglY43756lkd6PWJGhcFAw+9Ps5UtJMzxFjYuKacPrm2LN3VylhE/pNh3Ae0MgsKEbiAwBro5EMr2Trq72+2ToqrF60+mDANjiHteXClXHUXuezkxdN+H0zH9SxZbmtoAyybrvtnMAYhEkwgZpTX7+W2x1N2uDIIfQ0rBVhK4R6kaiIkLiszg8hHYwTu15bF1j4uL+U5LKEYU70jngljn/BxI/YjLpMaNiKgBN3rcmxm8rkDVJRrp9I8G7v0qjGdoqGVG5CpqM/K2mJOpoDA5B2DbnapgxypLsSCoSfmsCvPZmarfWQGhIsx5FlJvn08pmCAmnqddPNTeya4F0ZCq4RXrWvV2Fxos5o8A9bzarbp8HsJ5RxgBdeIh12ktTGmcB8Q43AmkzVIcojUocaUgqWUMDvIG7/XuPdJVUx97GMfoyuuuILeeecdOuywwyYFd/z4xz8+lfoKWWwp9eSOTlIUS8YPcKGswUscqzqwHsLaF7axP1o2OjWweKyVo/AXGoKE/+XVA/xSxQuaY64EFLLbLSl5wSK208+e2s0veSQ7hzEQlFSokxrAPJ6Xr7ZP1OwoH4mQJSWePs4UwidnvaMufpZXLannzIfCZET+k2HcB/Rk1pmrg0F3p6Kw2Lyvh933oOAaCvjIbjZRca6N5pXnz9jvF7J5V9sQmb3D5LcVUHmhg2OfxJtEIlHQluJcTFR9NISAw0jHblK47bGCluspg5BVSw0knMqJkLiszAwiH8kwgfv1xj16Wfn06gW+cPerE8JGlOTa6DsfOZQqChwJZZjTi/OJMeV77YOhzH4oBMkpVtQWsWtea7+TdnWORLwm6rSkupDHoUF3YhfHgkJcp9riHI55BcsnxBLFYmo874DwhDxqvz3xTjv9YzxLKxT5GAPjer+4cLXuvQzvx5nMyqeHJIdILeK+N3swxXmvE1ZMIeMI+OEPf6hbqAR3nF10DrnZrxxpY00ZPsBV4y8hzlL/qIddzT577OQMe5Gy0eHNGq1N4QMZuAViMIGMdTvaB6nf6eOJGrKLwI0jFVZlMKnG6tfwmI/K8m20fE4xT4iglFLd7+J5+eJ7NTOL1vVDtTTTHoe4WfdvPcBKsNJ8O6+EZdqzEGly5nIN8zO9eGYTY2UtIv+N5T4QPgjHJyylElVYYPKE2CRw10CgdDYpIuLff7LbgbLufHEf/fvdDg5GbCaFFhYp1DjUA+dBnnQhJsmFx8ylaz66Iqlloy1o05DLy5n2FCWYZRVtv+Bo/ZTosZRBcOeO5SaZbMRlZWYQ+TjzpDJwf6SyIu1T9z/0xoFJYSMQCwokmnUTyndYZEFJxHE9kWRmxE0DTi8/U1BI5dnNLAv7nR62LMKYPBpQEsGKv6o4h7pHPOxOiKQXSMRwoG+MNVeLKvJZyYXr7e0Zoed2dUZse6S+gKx+tSm4sFtgt5A3oLD1FNoBeYfxY6Txt3Y71UhyCEFIHwlHVAkEAhH/5KU7+6gucvCqCwa2WAnJ9AEuJmLnrK5l5ZDJTPTI9jb6yeM7+QUabZUKn9gOPy4cdcUICh9MQuDSgpc93Bzxsq8tzaV8h4VXyGNdK9wy7d3WQf6MB7X+auwSKA2dngDHI8CgAAMY1FFvYBDtetH6A/9HX6JP0bfoY/R1prp1aidn6rOLZxnPtKCPyP+Zs1zCJAOKCnym0n1AlVn41PtNxCPPMcnAxCugBHgFH+4XsJw6ZWlVUtuBxYILf7OJM+RhIhZp0jXi8dPv/9NEG363hZIJ2oI2wTIMbcT8D88+2q5ms4pEtL7V3oPZ8MwZFZGPxgZjnE37ehIYu2lDGkwxi/RLjWyB/nbrIFtCQW6U5No5oQQs32ElhQVHjLfgUYzfMz6jlchZRRUllFFvXlkeLawsoMPriqkkz0bVhTkczBxyak/XcNBVcVMzXfHAdq5TvEAmev0BVuJ7x5P/4P2AuFPR3imJ97MgCEZBQv0K02JhRQGtX16dNQNcvOigFIJyKN9m4YC/92xqokv/9MaEF666uo3VZHV1G9uxJh8qeOm6vX4eTDR2j7LJtUlROCNLotdCvb71t7fo7lf282c8AwNt/VGm3WJiM2pkPtnZHhxoIBZAvMTqD9QJfYi+RJ+ib6eigEslepMzPMt4pgUhlUB5C9eG689ZyZ/pUuZOVWEBC9H+UTchnB2MpXhSpCh03KLkBTWFHLnh3zupZzRoeRAPL+/tpW/9bTslk/A2YRIIRX+kOFOZqgzKlGdOELJBOYExDhQz1zzybkQFjVpnuOshhAEynI55oaQPJBzSQF0MxALi/Io8Vrjv73WyQhyx6WDJhKDiGN9xnMDiHLr2Y8v59/y54xo4plUk8B0s26884xDOCKgqoeC2B4XXhxaXszyDpRTiT2Hf4sqCuBdowy1Mi3KDzjnIbAiLWrgvA737G08/p4tMeyaF9HD77bfT/PnzKScnh4499lh69dVXY56DQO+XXXYZZ6RzOBx0yCGH0OOPPx76/te//jUdfvjhVFRUxH9r166lf//73xOu8eUvf5kWLVrEgcQrKyvpE5/4BO3atWvCMS0tLXT22WdzPCcEGf/2t79NPl98yRAyhYRd+cBrr71Gzz//PEdXx0qQlptvvplm+oH46U9/ymkmV61aRbfddhsdc8wxEY9/8MEH6ZprrqGmpiZasmQJ3XjjjXTWWWeFvoegve666+iuu+7iB+dDH/oQPyA4VqWvr4++9rWv0WOPPcbBAs877zy69dZbqaBAJrDgpKVVHJcn07PyTVSw2GlHr5ODkFMAq/yBCX70yXB1wMSD40+aglEo8UtRlTkwnY7nWurgBJO86gIHDQwqcfn749oYfDT1jXJwd9R91O0eD9pr4YEClEZwIYnnfkXrD7WO6EOMhdCnrYMuWl5TyEE4M9GtU8+VKZiVz5PuKmU86ZT/RiZT3AemEmMDriXIMmUyIQX6uCefycT7kwXc93oTUEqpPPxmKy2qzKdLT/7gnT4duK2cSOKDfWwBFUdbMy1+SaY8c0ZC5KOxMkaqsewQyBxKokix98Lr/KHFFbTtwABnQkbGuURDGmhdfxHkHPSPemnN3BKOTafGLoW1JjIja5PQQLb8cVMTdQxNlkkQWwjrsH7FnAkZ9aAshzIKsu315n52y15dX0KvNfdxAHTUIdFQHdo4hki8g3EvlFKIAwilU/j91YvDF092wNn2TArp44EHHqArr7ySfvOb37BS6pZbbqH169fT7t27WRGkh8fjodNPP52/f+ihh6iuro4zuJaUlISOqa+vp5/85Cese8Dz/8c//pEVT9u2baMVK4IhCY488kj63Oc+Rw0NDayX+P73v09nnHEG7d+/n4OJwyoXSqmamhratGkTtbe308aNGznW4f/+7/+SYS2m0DjcjHvuuYdef/117jT1b/v25K5MRnogoEh68803WTGFBwIDAD1wYz7zmc/Ql770Ja7fOeecw3/vvvtu6JibbrqJfvnLX/JDtnXrVsrPz+drulwfWLPgQXjvvffo6aefpn/961/00ksv0SWXXDKjbc02YGWSSleEqaIqWBBAEi9hDBytFjMrb7QWQNrVbawajbr9HBcq3vbhOhjEHF5fTMtri3nFC5OXXe3DnNIXaW8RsykRSyU1hlc81la4No5DWW8dGOSyYaKNeFcw/T6kqjAhqy2wdmEZ91n4ar9aR/Qh+hJ9iuPQx5ns1qmiutGIpVRmy38hdUzFtQwTGWR2Ksyx8ie2kwUmLP9+t31K52JZ4K6X9yd1lRtyDm1EhlN8YjteUu22J6QOkY/TZ6phFGYC1XoH2emQpY4X33TGYXp13n5ggM5ZU8tWSb/+/JEJKzEwboIMfad1gN4+MED7e5wcn+nFPd2h2KUI0wAXPsQL1V4fsuW/zljKGfq0kgkiGaEKvr3+0AmB22Ex+dV1iyjXbmELJ7QBYSBea+pjZRis7FGHd9sGecEzkTGdev1vnLaELj15EY+HI93fcMt8bXbAdFpPZdIzKaQXLC5cfPHF9MUvfpGWL1/OugNYJ919990Rz8F3UCQ98sgjbPwCa6uTTjqJdRjaxBkwmlmyZAlbU/34xz9m45ctWz4IRwC9w4knnsjnH3HEEfSjH/2IDhw4wIY34KmnnqIdO3bQn/70J1q9ejV95CMfoeuvv54NeqAc0+OFF17g+RwMc1TwrsI+9bp/+MMfWIkG/cfSpUu5veeffz45nU5WoKE+paWl9PWvfz0pLusJW0zBUgid/IUvfIHS+UAAPBD/93//x/X57ne/q1vXM888k03ZAG4QlEu/+tWv+FwIF2g7r776atZMgnvvvZeqq6v5Afr0pz9NO3fupCeeeIJXwY466ig+BlZaeIB+9rOfUW1tbUr7QJgeeBnDL/+R7UPk9mGNn6gm18aKonAlClbD8GJ+ZW8veZUAWxhhpSeeAYaqABsYDQajVAIKT14qCuxUV5rL5cVr+aRaKpVbTXFZbqkvUQww6kpyqQsr+eOpgwcRtNdmTsgCTLtShLgxh9UV03lH1k9YncO10CYEuOwY8nFx3cNu+pBMwAxFOuW/0VEH5qm0pFHLDM96pK0LiFUvrGYj/XnPiIfcPh9PqHB8vK4rsdoOi4Vhl/6Ax2YmaijNpZLSHFbCe3U86hAoGNfQu3ai/Y42VRU6OB062gpLALjRRGtrtP6MdA+M+swZGZGPxskYqVVGIPA43HWbe52cwAbyBJahqvtueJ1VhcqfNrewon7d0kq64OiGhOqPxcWhMW/IShThGHAtWEg1lOeFAqGjbyA3Illnbmvuo4GBPvJY8qiqKFfX8khdYMT4TlUKQUmFsgodFo6RCpfEMa+HlVuoWyJtefLddnrojVbyBgIcXwrWXlCshd9fraU/rMzQ34lmBzTyMymk9z0G5c4bb7xBV111VWgfvKhOO+002rx5c8TzHn30UXbNgyvfP//5T3bD++xnP0vf+c532NIpHL/fz95eo6OjfJ4e+A4LIAsWLKC5c4NzUtQB2WChw1CBoc1Xv/pVNq5Zs2bNlNsOJRSMeP7617/S8PAwnXvuufTJT36SFVZwSWxsbGRvMijeLrzwQkqpYgo3AQWnmqk8ENgPCystuElQOgGYv8ElENdQKS4u5hUvnAvFFD7R8apSCuB4lA0LK9wYIfPRDv6RkQ7BHqFI6RrxUJ/Ty9nrLtaYWnPQyZcbeXCBFyOOV1dJ4nkxqgqwR99qI19AYcUQMrRAKVXosFG+zRrXi0213LpvSxN1IvWwyUEbYsQlCX+JKiaiPR0jBMdCpzfAVlSYWH3j1CUx26EdnCFwZdvAGKcW3tMZjFOFwY9aR/QX+hKDpKoCOw9s0NfqqpJMgLKfdMl/o5MONwG1TChY4BIC6x+4hEBu4XeLuqiuHQ6OGRe5XuokimUdD6wUmlPsiOu3Hk/bu4Zdqm59klKqtjSPfEqAMz5tPH4+3be5iTxhOixl/BpTKTsctAnzQK/aVkXh7Uht1ZaBuINYiYSMRHlqX7cPBFPAw/oBSq5U3n9xTUkeIh+NkzEyfByFMSBiPGEshSx7kJfIvIxxEMaEap0x7lEVKg6bmZr7nPSHTc30/O5udueL5zemjrtwLbvVxMpv/CHW0+CYk1r7x+iQKmvMvoFMWlCeR319eVRWVsbPZ7z9jjJgaY8yx7wubgveBXkOa0IKojuef59ue24v+ZWgci3PbqFhl48t6jnDoKYNqqU/MgWibEjYxZUfZAdMlzIoU55JIb3vsZ6eHlYaaRU/ANvhsZ60QGnz3HPPsfcVlDh79+6lSy+9lLxeL3uAqbzzzjusiILHFqyl/vGPf7BVlpY77riD/vu//5sVU7BegrGN3W7n76DP0Kub+t10QF0R5ggxrgAspu677z7q7OzkuqKeJ598Mruxp1wxdcUVV7BZGCyNUslUHohIN0m9QepnrGPC/UatVisL+Ug32u1285/K0NAQf6rZWYwE2oOXlV67kEGuc8jNpsPpdJN6+I2DdN/WoODCKhcmYStri4MrTi4vHegfo4tPWEDnHlFHe7uGaHvLACtZkE3EalI4ZlL74BhPIhAzqWNwjF/20UDbd3UMUUNZLrk8fs7M5/YG6J0DAzQPgSzHlVWYqMR6JlCvVXML6WB7D9XPgQVSUdRzcE00tG0QLndEzT3B2AE2q4ktqAB8/Vc3FMcsG211ur0ck2tn7ygrpxDI0+v3010v7+Mp3+qGEq4j/v+Lp/fw6hYGEhhYYCDxt1ebacv+vtCLY8Ox8+jcI+spHUR7JqM9y9lOstqUDPkv8nHyMwnFM36z80qDA3Vs4/c5U3JTLROywuXxstLa4/XTsNNN/3priOrL8qiiwEbvHBxkq1JYSWLFWq9euNYdL7zP18K0B39o7TsHB+j5XZ100iGV025777CbzDqqqRyLmYpyLFRdYKXBwQC93tRHq+qL6Y3mD8zStdfQ3oep9vsDr7VQCyaemrZi+y9bm+jCoxsitq8y30bvtDq5FYfVF7PVxb/eauVFAvQ97gHuhdtrTdn9T6TtIh9jI/IxMfSeKYytNh7bwGO2A/2j42OGBt6fyvYj5mSBw0K9oy5WRkBBVFfsYKufapuN6kryJvxu1Dq39jk50c2ckhzqHXGTPRjGlHx+ffkZbdyFOvSNx7Tz+PzU0jvK8rh/xE3v+fy8kBCrb+L93Wr7fUf7IA2PeYmUAJcJoEw3mcxcp96R+MfBf3/jIMuZQruFFy5cHmSrNpPfH5hwfxUlwP2D+Ff1JTnUOjA2HrtQISUQoN5RN98PlJ/q30E8z6TIx9SjF5MsXVZ1sfoPeoQ777yTLaQQK6q1tZXjZWsVU1A0bd++nQYHBzkW1UUXXUQvvvjiBOUUlFuIV4X4UfDauuCCC+iVV17hQOwzCdz3VKWUqieBC5821jb2RQqtNKOKqf/6r//i4FqoIDoLQbW0PPzwwzTbueGGG+gHP/jBpP39/f1ZFx0/nh8czPo4GKxmNebF3V305I5Ocnn9lGOzcLYzBElPNXi5PbV9H1XbFSouslH3qJs6/R4aGxngzClmc4BWVFhoSYmJ/rF5F9d50Okhs8dHdQV2wk8OL0zokWx+Jy0sslIBudhfOBoH2wep2OymuSVWaul1U1GJibw+RAUOUGBsmKxmMxU6rPSXl3dQX2/svik2BchcaKJCkydq2Wq/l1rcnAkQptnzuBHEiikTudgMfGjMRwfbu2MG+0ZbFxYRjXmcVJ8XDG4OZVdxrp96RsbowVd20lPb7Hx/l1QXcl+S4qZic4C6nW6qtPtpx/42qrZbuP/hSoj7saT0AyVZqoj1TEZ6lo0A2pUMkiH/RT7qywokNzCZveyyC+vIeH6fU0Uts6bQQlavwivZcD8pz1fIEQjQvEKFzOShBYXBVOelVg/NzbPq1gvXwra5SOGMSzyE5QDoCjW3dVAfZEKMesRqu8U7QguLJiumrOYAHVJsomKbnw4ptvC5GNToHWv2jkyQnVPt9+a2TlpQFAx+DomKiRPeD9jf1zdxMKwtY8TjofmFwc4ps3iopJDI5A5QVb5CeYSU6sFU6vWFCo15UnP/E2m7yMfYiHxMjEjP1LoFebSkdD71j3pCIQlijbmSTYmZaOOa8uCYwTVMNTkWWrGgiN5oGWBFOH43+RSgrmE3vfX+QQ5tgDrv7Rymx95uI3/AT7kBP1s6Ycw0r8xMgy533OOu+jw/+X1OOrzSwi7SPn+ALBYTzSnO4QVWf4DoorU1tLohL2rftPaPUnfvAFWWO6muND9quej3EksN/XFzM1lK7WQyE1vIwwLWYg5aT9kDY7SwyBL3OLja4aX8Ymz52cV7zIcMhTa6aG09h7dQ7++Luw9Sjt/Jivpcu5nm5jlof6+Pcu0+8o33P8Zs6LtUPwvxPJMiH1NPql0sKyoqWLEEK6EJ9ejs5IDjkUAmPrwLtG57y5YtY+MWeIOpFk/4XLx4Mf8fyiuEEIJ7+G9/+9sJXl34Qyyq4447jmM7wbIK8bRRh/AMgWpdo9UvHL04UeHvMlh+6+1LhhIzYcUUglvBVAsmW+Xl5VyRVDCVBwL7ox2vfmIfHhztMQgcph4TrgHE4AACKVK5cDfUuhBixQs+oHiAkAbSSOAhxDOAtqnCGKsk927rJUWxUEV+HnVAi72tlzP3pdpyavdALzUOIQZJPvUHTNTp8tO+QROZBn1kNvs55tM3Tj2E8ouK6d4nmrjOuTkF1NwzSC0jXqouzmFrJwwEfDYbXXzMQjpsYTDVbTTqA3YaDLTRwV4vtQ8o3EcWk4VqS3LYgqmyyEE1RYVx941eP4czod+LS6mja5jjPCHwOtz3AljNURQaoQAV5jiofk4llZVFvx9lZURn9Ct0138aqWXIywMsuJrs64BrjYkOKymgDpefy/35BfV0xupFvKq0vWuMXxgOq4XGvF6aX26jgN1BAaudXxwjlMNWh6kinmcynj7OVmDlmQySIf9nu3yMJCuQcROWiVj1g8tuPL/PqaKW2Tnsp/ZRE69kI/aHk0zUNWomxWHiZAn7h8d4hb6wyE6tY37deuFaA4FmahqaOGmGkmpebU3U33m8bQ/YCqlxqEf3Gh6zh46ssdOeQYWGXGa2WPDBfzmMdbbCCXWZar/Pqx2hxq3dmj3BsubVVk9qq7aMPJudmobHWG4WFNvZYurgqJncZhP1jZrZEgPxVXw2E+XYUnP/E2m7yMfYiHxMjGjPVAqHBxH55NoyHiOoVtbg8fffpINOWBMFJ8ZQSg++2kWKvYAtwQ9bSPz/3/2nkZqHvKzAbijLo+ZRWBzF97t+Yf9BahwyUfdwUIEFNzZYoB8yp5AsjqA1+sF+J+UWlUSVr/AW+NPWZlZCDwYG6fPHzo9prZ47oFC762Bosl9symVLf7ji7R/2soz66KrauMfBo6Y26vO7aXjMN5652UQfP7qBTlm9aEI9f/dqFzX3+om6nVQ5Hgoix55Pl516yHjsvfR6XsR6JkU+pp5Uu1hCcQSF0bPPPsuJ1NT7ju3LL7884nlw777//vv5WPXZ2LNnD+sdVKWUHoFAYIL1bDhQguJPPQZugAiaDp2F6ukFVz+8N8JdAsOB3kPNEgjXw3SS8NOGCOx///vfeVUolUzlgcBNwvff/OY3Q/twk9RgYggaBuUSjlEVURgEIHYUgoWp10C0esS3QvkAvqIoG7Go9HA4HPwXDh5IowksAGGsbVvXsIeDJeLFhkxy5fk5rIzA/sVVqW1/TXEu5TlgKeWhPJuFmvrGyGwx05LqAk7ja7eYac38Mh5gqHXGy3hueT419TjJ5VVobll+wsErF1cV0Ybj5tNPn9xFLp6vKeSwmoKBLM1mjotiMptj9o2aqrhraIzsfieVlIzRmnlluvUI73eU0T0SDJ6JlXj8AacnQJeum891jIfzj27gPvrbay30wu5ujg+AiR8UXgUOO+XZgi57KB/HVhTl0A8f20El+Q6e3L59cJD7vSjXzu5AuB+4L6n8LcT7TIY/y0YhWe1Jhvyf7fIxkqyACXpzfzCTJeLIxfv7nAraMnPsNnZvttssVJjnoGMWVnDco54RL5UXYHVeoe5Rb8R6Yfv8I+fSz57aw5M0lVybhRrK86Pe03jbfmhtEQXGFUDhNPW5yK64qHXUTKMeJeJxuIa2LlPtd/QPVvpVeQpg7YT94W3VloE+LEV2VZOJ+xblfXRVHff1iCdAHrfC98JhS+39T6TtIh+jI/IxcTL9mcJvYnHVB/FsMH7CYqXPj9hyJlpYlc+hEe7d2sLjJIzN1HEQ3NjeaR0kT4DIZjLH9Rtj96StLVScZ6eaklxeXARYHMV4BUFD4xlHqdeBAq2qIIf6B5UJdYw1Zj446GLl0CACvZvMbKlVkmsjp8dHOztGON5WrPGwVs74Ai7KIxOddXgNXXrKIZPqabNaqCTPTh1DbmoZcPN4+ZzVdXTyoRNDrWQymf4sT5VMbY8a3xbPF8bzaoypmXTjw6IBXOwQd/qYY45ht23Ee1KTsoGNGzdSXV0dW78C6BOQdO0b3/gGfe1rX6P333+fM7hiIUO7IIEseg0NDWyhBkUWMuY9+eSTIWXRAw88QGeccQYHTz948CD95Cc/odzcXE7GBvAdFFAbNmygm266iS2ykNwNQdf13ilakEAO9YVlrmqxi8yy6UjwlrBiCtp5rZ9hKon1QIQ/DHgIkJLx5z//OQ8UEE0eHQ0/T1WIQGmFlIswi4Oi6pprruEboSq/YG6HzH7IBohMfggABkUYAqNLRr7MDxSoFVyIJYWJExQqVQU5VJEXVKioQbm1dYbCan55Hl184kJ2+dPLehIL+DnjRYsyYT0ET75ht49K8+zBLIC2YHmW8aDieEFrBSoGQT97ajebimNUAveUpqGDVF4YTPerDfCHc3ENDJTUNqAMZMpCNhnFZKJcWzDwJAK9o26J9iMUc3DXQxDhf25r4z7Cyl34/Q3GIiAObMlBQ8vzWMmH/q8odMz4iyPTn8lsJp3y38ioGZRSmSBAW+Z0s/JVjac2NytB61A4uMEKK1ImvEj1iFQGMkkV5VhpKKjlnwQmiaOeQESlFOSgXta8qfQ72sRm7OagmyNmftiO1NbwMjIlK186njmjI/LRuKjxbLDYlu+w0L6uUU5og/FcrtUywYVIG5DZYTUntLAZ7p6EceJ77UO8QAD5B+t3WBR987RD4kqCgxhycDuEZSSU0PEk3NEm7oGEQ/KLBbzIYKLSgD0hdynIGYwZ1ax8rzX1c/+o41e1nuUFdhrx+CkX8acUospCeyh5jsgmIVPeYwjs3d3dTddeey0rfmDU8sQTT0yIVd3S0jJBmQeLVyiYEIPw8MMPZz0F9BPIyqcCKyfoMNrb29lVD8fhHMSTAogh9fLLL7PeA8ojlHfiiSfSpk2bQtZR8Cr717/+xYowGNXk5+ezzuSHP/xhzHahPJwDI6Abb7yRM/ChjlB2Zbxi6vvf/z4H60KaQgTDSiWxHojwh+H4449nrSM0ht/73vdY+YSMfCtXrgwdo0a3v+SSS9gy6sMf/jBfUxtI7M9//jMro0499VS+PlIi4qYJmaPFjkYobW5LP931UqOuQkWvzsjS1zXkojue38eB0OFXnkjGBwhKvNgRaH3Mh3S7ft531LxSer9zhMtRszT9+oV9EzJK4GUMayuskGH6oz7V8N7tHPawwkoN8Bee9cnpMXF8KVwPgYeRDaY036Y7gIoXlHHny41sZYY0vmvmlvCgQe/+RlPy6aUqno3PZLaSTvlvdPAspvp5jKfMeOulZlHipX1W2cQfayBWGfjuIytr6IHXD1KiYGKF5BaRrj+VfkfsPs5fwYo4xAjWyxmoX4aapXQ65SeLdJZtREQ+Tt3VHmOdTFaQahVGGMvl2Fzk9gf4/2piF9RfLyDz5sY+VkzFg3b8BCt/ZK8bHPNwVsAFlflsQcWW/jEWF7XXQQy5eBfjUH+M7ZDEBi6EA04PtQ+5aU/XMGeV5kXVBBb1cL0n3utkZR7CKIQHqFbriXZxHC2zmd3Agxn7PGnJwpcI6sICgrIjLplg/PcY9AHRXPdg6RQOlD5btmyJeM7vf//7qGXW1tZyRr9YzJs3L67jwoHSTBvb8Atf+MKE/2u31Xcd/rT84Q9/oLQopqCQ2bdvXygie3jwqzfffJPS9UDoPQyf+tSn+C8SUApAmxhNo4hVMCi4hOxdjQ0JLoUiKifC6/zku+2c5hZzDlZmKUpCGR/CFTQH+pxsFv3WwUF2czkayrIDA7xKrlrxQPmDmRRWmPpGvbop0gGyojz1XgdVFjo4gyCuoQ6C3L4AXXJiUKn2yPY2Ghzz0pDLy+eNWswJWwrhxXvLM3uod9TDwX5hgeV0++hHnzxMd4U/kpIP7j7pJNOeyWwk3fLfyGitlNL5bE4l/XIwkYSJLZcA/oX1JvYni0tOWkTP7uykHrhDJwAyhl568pKk1YPbxLEdgokggp9KXG1NZWrrbHrmjILIx6klJUG8R7jaZ8JvIt7xXFGulfpGPfyHRT91LLlpX8+0AjKr4yeMufaMeEIKf8RmKnTY2IIqnuup10GmOyQ2QHwruBLGqkO4xRaSxUBh1DXk5iDsCE7+jVOXxC0vYgWoVuuJcSzr95F8oyyP3RUz3apdK8+RMRDB8hGXTBCEFCqmVBc3QcjG1dhYygm1zhiww/QY86wCu4W8foUz2WFwkOgAAy+uvd0jPIBBVpPFFQU8uPnPvh7y+BR2LcQL2+sLUHOvk25+ag/CULG1VSTw3Z+3tLCyDAoj9RqICQClFVafsEoFM3KktG3uc7I7HVsunbAwofsCS7PuEQ/HUXBYTOT2K7yNVL6RlE2ZqgTKxGcymxD5PzNkisJiqumXoaDG5Kx/1E0+jaHUln29nK0qGaD8735kGd3w753BWH1xcMLicvr5BcH4kckCbYJGCn2EGaPVAlfB2O7emZbaOlOeOSMh8jFxSylkvUNSkkz4TURDq0DZ3TlMhTlW+tyxDbS6oXTCGCcZYQPQfpxjs5rZQh0W9hjDFSPGUwIKG/yeVzcUcyZABF2PJ25duMUWykU9llQV0Ijbx+PAREJBxNMf6njxwdcO0HO7u2jU6yebX6Hzj6zLuOcgkjzvHXXxs4xg+TMZH1AQjE7CiimYKQtCNhOPcgIKFfjDI6itFxmrLCYa9fj5pZzIAEN94T63q5Pu3dzMSilVCYVML5jYwJoJgSU7Bl28Al9flktdg8h6F5mgRQJe+rlswQSFFq7ZhvMUYqUVMqCsmIOAvyYe0CDGE9zppm65BNMATL7ic9ERJZDxEPmffNKtsNBazUw1/TLORRwnWGfaTMhOBDmh8CTjU0fPTVo7VHl654v76N/vttOQa3JaY4DV6wuPnkvXfHQFJbuv0CbE08KfajaFtsd6L0TrW/X7VCnx0/3MGRWRj4mBMRAscuDiZUpBuvdkAIt0t89Pdp+Zqgpz6PhFFUkLG6DKYsQLxeLj/LJgXCeEUGjpc7JCDPH8LklgcRGZ7ErMnrgzfGoVcFwPv8LjU7RjKjIr3v7ghYezlrEl2v1bD9Cwx8sW/+jjTFSY68lzl2uYn2k1WL4gZDrr1q0LLrJlm2IqGEch8bS3gpAJ7gPhwWUjBZnV1is40bKzGTUmW8iahF/AMfNL2SUvkfqrxzz2VvuEVShMbFSF1MG+MT6mptjBVlkImm7qQ2rxyOCYghxkZsmhA31j1NI3xgo0WEWxJVW/m+MTwFcfq2wIPK4XADhWnwFMvAbGvOT3+LhOVePXinQv9QL6glTdd3FRSR4i/2eWqSqDZsJq5swV1VNa7Uc9EeD3dy/vD7pjmALksJipfwZihOBaN56/il37YM25s22QLN4RWmcrpLJCO09kZiqWHdqCNkEh5eEgU0QWM3HbY5UXyXJge0s/W7em0nIpnc+c0RD5OHWqixyUY7NQB+Ig5edkdFKS8JAGTo+Lt7XKXHXcgX3hiSViBfHWymKMDXEe+gMLjgeRuCdA7O7ocHpS0l6Icbc3wAoyLHj2OT28wFle4EhIZqHdtaW5dOXph0wYC8LlUW/ceP/WllAfj7idk/o4UwiX572jbqrJsfAzLQjCDCumVqxYwQHHzz33XI7YHgmkQLz55ps5+BZSDwpCut0H1PKg/EFKdIvJRH5FocJxhY5avl691FUe9rP3+AkL5M/u6qJ/vtUWOh8TuXBT7kSyA9aXIEOgg95rG+JAmghs3o/0vME5T1Saekc5qHr7oCsY88QUTPVbV5rHCjVcB6td8a7aqYMqddCh9lmBw8ougUgVzHEOcoIxo7Y19+vey/A+V8/H4B0Dk5m+7+KiklxE/hszY2S41QyU2HBfPvnQSs6clOhq/9pFFfSHTcHrIYaeyxegwTEfNfeOTrIqSAaqRWZgTR319fVxLMiZTmuNtqBNkGVFDgsr/PFeQNvjqW+45cDR80u5z60WU0otlyRLafIQ+Th1YM2zfnk1x5jK9KQkkUIaqNk49cYdIJ6xiJ4FI+J4wlLq4LjVEqz3bVYLZ+ZDLNKZkhFqXTCmhJyD4h0LnbAUQziKM1fW8PgwHmtLvT5p6x+L2Cex+jiTCJfnsNLFs4xnWoifTLPWEdJ/r+NSTN12222c1vDSSy/l1IVHHXUUR4hH5jqkLdyxYwf95z//offee48DkyNVoSCk231ALQ+m4k6PjxVSeLnipYdt7Mf3sCTSq9cvLlwdyuZ350uN/KJuH3SzwgjnQ4mD4OgIehtPxr5I2QHhioe6leXZyOkJkMvn55hWsRh2+2i0e5SDDM8ty6OOIRcrqRAQHZlT5pRMXKWKZ7UO1gCIHVWEWAbj1lEub4AtpuCygqDqqtXVFQ9sn9Rnal+qfR7sKz+7K2KQc3h9Mddtpu67uKgkH5H/xswYqbWa6RgOuo9APj6/q5tje4Qr3GNZIULOcAwUj48zVXn8CmcTvf25fWQzm6elHJ6OBWSyrCchI29/fi/5AoHgwoFCrHBH5qpI8aXCy9bG3sMCAJRSB/qdfB1YSdQU5qTEckmylCYPkY/T46SlVRyXJ9Oz8kUKaYB4ng+9EcxajN+xOu7ANuzotIlpIo1F9CwYMW46fXk1Pfj6QRpxY4HPxkJn1I/kN+4ZU9aoVqEYnyKcRVFOMK5VXUkuW3FhQTYea0u9sRjcAzEm1PaTOm5EP6Ev9fo4U9HK82BWvtRYsxkBNTGE0+mk3NzcdFdHSAG41yA8KciUFFOnnnoqvf766/xyfeCBB+jPf/4zNTc309jYGFVUVNCaNWto48aN9LnPfY5KS+MPiifMLlLtPqCWh+CRsFCCa4kXsQEssJoiDhSOFan3u4Yj1gsr/fhEevBCh5X8iotd8fCiHnJ6+bVZnm/nydgdL+zjF2y0YL962QGV8brUlOTyftSpsWc0psWUzWziCUVtSS5ZsaxlImobCLoFoh6YaMQTePiF3V1cd8yt0JauYTe3DRZYeeOWD5h8QRGGsqJlnlH7Uu1znI/YXLgYvB2gcJvJ+y4uKslH5P/Mk45kAarVDCyl1JgmOVYLywGsiK9fOSdUj3isEHE9TFrg+tzW5+RJGWRY57CLfvrkrikrh6djAZks60lMstAGWAyoi34BJUDlBXmsjNOzNIpUttoH6GP0NfocE0C4iOM9kyrLpUxNUJFtiHycPrAyWVw1s9aO0wULcghh0D3iDoU0yLNb6B/bWnnMBvczJJpRxx2IBwWWVhfGHItEsmA8bmE5Pb+ri0Y9Po5rBcUQxlCQ1VCSoxLJtgaHwhwKImTiw/jW71fIYQsqzrEAu6SqMC5rS72xmNondZo+ebdtkH742A4eH6IM9CkWNsLDRmQqIcvdQIAtd4X4sFgsVFJSQl1dXbydl5cnLtEGRVEUVkrhXuOe494nLfj5hz/8Yf4ThGxwH1DLg4UO3C3gKge5h5V8xGLCfnwf60WrXgfKJ7gCQimlBBTyKQo52LTaS93DHrZ0wgu2Z9gdGixEWq3XTgqQAh1+9Tvbh8k6/nIG+IiUmA9HQLnm9Qf4ZY964VBYNl15xiERY6yE1weTJyilsGqPCVJlYTDNOwZBqAfaCmsHtF2vT8L7TO1Ltc9xPq7HVgZk4n6fyfsuLiozh8j/mSXVyQJUqxn8/mEphd9/fWku1RR9YLUD2GI0zBpAb+X/gzTn75MXC97j++GGAmuIu17cRz85f1XKLCCTaT2JuqMNgENocWZUZDZXdC2N9MpGH+JEyGbtpM1iNnMMGbw/0FcbT0id5ZIkqEgeIh+NDX4n3zh1CVv9DLt8rKxB/CcOc1CWyzGYtJnzsDgHORHPWCSSBSMWFjGevPXZ99kiXrWkx3VhHY/9ybQGh9z6y6sHWEGOolAa3PgKrWaOBaatUyxrS72xGMJA4JrqvtYBJ2f6g8ILsVC5j+wWKsmzcXwrNWyEyChjUlNTw5+qckowNlBKqfc8qVn5BCFb3Ae05cHix+/ykt1mZrc5bMf7otVeJ8fmJdeYn1/WCEbp9vrZSgkjBQxQECtEnfzoxWDSW6F++f0efhkPjfloLKDwizuaUgrgKwweEAyT3UrMRAivglUuuBbi2npKqPBAx7xqbzFx3bFqD8sJKLs4rq+i8DULHWbKsUfuE72BlNrniDGFFTCH1carIb0jnhm97+KiImQzqQ7aDwU5rCuhUIf1DpRS4UG58XsOtwaItPKP68Gi4OdP7eFVfa0ce35Pd8wAwMm0gEyW9STq/MzOzpBCCsap/kDw8zPHztW1WAgvGxNYZE69+ak93N/aIPPoc38AQYaJrv3Y8risXKeLJIcQhMTRLihirPRrWMnnO/g3Pq88j5p6nBxDFL9xZM4D8Y5FIlkwqvsR/uGhNw6yxX+u3cqLh7Buf/K9dk74AKaS9AGyAIsPAJZSuCaUbvlmM7m8PpbjFxw1lz6lsfaMx9pSbyx2cVifYOyKeK1QSmldGL+6bhFb54t8MjaYE8yZM4eqqqrI6/WmuzrCDAL3vViWUiqimBJSSqrdB7TlRcvKF6te2vhQtz+3N2QOEFzpDlCezcxxntQYITgufMUc2UXwcsaLXh2kwPUNExZegVcUti4iU1DpFQtM+GBhZbdbeOKDwOSDLh9PMv/9Tjvt7BiepITS1gfxTaCMWlxRwNZRzT2j5OQYXAjEG/T5xsDh8lMW6w54Yg2k0pWVT1xUhGwkXUH79RTzWnlRr2MNEM0K8YwVNXT3f/Zz0Fqtch2Tnr+91kJXnbU8JRaQybKevP6x96hn1KtZEAiK/7I8O61fMSdm2WoWVljroi9hTYq+Vfs4XLE/00hyCEGYvpUhFDpa+YKYTMiIfPF4HE513KEdi0TKRhd+bb39R80vZbdBTvCAhVFYzPsC9NsXGnkMCioL7PTZYxtiJuTRJrqBtT5kNeAFSn+ALGYLWUxEVouFFArQ4qrJ9YpmbamXnVBbH+348Oan90yS0TOVVVXITKCwiFdpIRgfUUwJKSfSC22mVnHjeYGqZcbKrIdjsbKjroQj49yu9mEqzLWxAgbxWvBiBdoVc0xO9iDbiNVM88vyQ64dGASobtVQAgXdA2HVFVszBR0WzK19fj+vtuM6OBfWXI++1caKMj0llLoyNeAc4UDwqDNiXKENXr+HDq0p5BU4uKlg0qTGlYrVt/H05UwEO9d7ZsRFRcgm0h20P1yZi8+/v9kakl/h1gDRVv6x/+Ora+nu/zRNiJMH+fbUe510wdENcbdpOhaQybCeRPy9LY19oXhZKrAy/eKH5kftA70srIUOG+XbrFwfTB4RxyuVCvR0P2eCoH1vBwNGU1agN77RyhcsKq5bWjlJqaIeO12FMK4LxROsV4d9CoekAMjSp2bsQ/1ufXYvVRU5qDQvmJBndUMxHWwfpPqAnRZXFX2Q6Mbpoa4hVzD+KuLc+fzsooirQnmOsSnahDITifEUTzvV/kF99RT0ehb/2UDrwBjtHujl7NjZUmdByFrFVFtbG2caEQSjrOJOpczwVXiQ77DQoNPLgXHxIv/4qlp+kWuP6xoJZhtBxrzwQJCY9LX0BrMVYFDArnTj5enlJYGVlA8HjscAQGxxPtZErIxCkHe8IKFsCldCaVemgn79OfTCnm624kKcKrQFQCmViIVBttw/YWqI/J9ZMiFof7gyNx5rgEicuiyYTQqTJsglKKWw0I82Jtqm6VhATtd6cktjL3kDWCwwkTcQdJ8GH15UQZeevCSussOzsGrlaqoV6JnwnBkRkY9Te28XOCy0cU05fXJtGWUykcYa6m/8wdcO0HO7u+iZnV20ubFv0lgkGQphHPfN0w6hXz2/l1r7x9j1GrabGLthPGhTEBSdCDZOZfl2ljWw0kcfVzl8NBhoo/UrakKWsDimfSCY2CfHGrwGpBvGsByxVAm6dl928uK46xhvO/XCSmitvLJxbPfwGwfpqe37qHGIKM9hy4o6C0ImEvdaxYoVK+j++++f2doIs5Lwlxk+sY39mVamukoG32gM6BE0GD7yDWW5tGJOEc0tzWUXOmRYWruwjE2VcRyUQghMDneWYbeXX9hqivABpzcUKBioMaZ4H8ypET+Kgtmb4GZntphYORUeggpzJlhLDYzhesHrYnACiyiUf/KhlVzvvT0jNOr209HzS6l10MV1Rt3RBrTFPV5nHBuPhUE23T9haoj8n1m0Cu9ElcLJBL8fuJoArZzDJ+KDnH/kB3FGooF6zynOYRk3Pn9i92TIpn9ua034d4oykSF1KsqTqZ57x/Pv0yPbWnni5vYpZDMTWybkWM100Yfmx102+gx9p+1L9C1AX6dSZmXKc2Y0RD5O/b395I5OauzJ3Pd2PGONTY29oeQQet+rCmE1HhU+YbH03K7OhH7/UHQgtAIWOJfNKQrKV1jOBxR258OYkGNQ2SxspQ8XPY8/QNUFDq4XLOdRLsrHMTiWLaS8Ab4GroVr4too47JTFiekXIESHm7h2kVRdTEiWn9CWaYqpbJxbIe63be1mVdgsqXOgpD1FlM//vGP6ctf/jL94x//oN/+9rdUVpbZKxxC9pCKVdxws+DplKkXALOuJHid0oB9Uvrb05dVU1GulX35ESgdfwgIjoDnox4/K5BwXI7NzJlI4BJYkW+nQQRD9/qosiCHNhw3lz7UkEuP7x6ix9/toI4hNznGXfmQNc/rD5pN7esa5RUvDDhgpg0rLgREh8vha039VFeSw6mNYZX1/K5uzogCpZRad/TBJScuTCjwZKy+nAmTbFn5Ty0i/2eWTAjar7dK/YsLV8cdH0ULvocy5mdP7abOoaC1KFtOYWV5Wyu9sq+HPntMQ0yro3Rx/b/eo/s2txBSUVjG5azLF3Sz/sTq2rhiQWnlXrjlFhJjXPHA9pRbBGTCc2ZERD5O/b3tcg2zjFg88+HVZmSsoff93u4RVjoBHBNuab+na5jHZvduaqbH3mpP6PcPi1W4U0P5gUXF97uCyg9YTgGHzUK5Vgs19Y3yNhRMJrPCY8p+5+gEy3kc6/Qi8cIH2f5wTWyhjERd+BCeAq6GiEkITwBYiYYrvlXlFcqJtz8zfWyn1rm4yEb9geyosyBkvWLq0ksvpY985CP0pS99iZYvX0533XUXfexjH5vZ2gmzgmQFqU1kwoVJwnTKjBQAUy/9LUy88cLnfSW57GaHzFUYMCCD3oh7iBVTDWV5rLRy+wNUXuhg5ZUv4OBMTScuqaC+vj76zkfqaO3iSlZ8efx+6hvxsotMjsVKc4octL/HSeUFdjqkqpD294xQ26CLlUwLyvO5bi/s7mZ3v3llBbyNrHmwqAql6p1C4Mlo92+mTLJn+pkRJiLyf+ZJZ9D+aC4YsDaayu+YvzcR3fTEbnYnweQTCnGkPO8cdNNtSCKBZyvDlFOwlLpvczPHcIEyDZMrGymUY7PSJSctoEvXxa5vpP7SswhIdzwxmThNH5GPU3tv9yIrZY6FqouCYREykVhjjYhKp80TlU6qQhgW6/gernSLK4PjsDuQ3a/QEZfCW6tcxsIm4t0V2a0cV2pg1EMDYz56r32IFz6rChHGwUslFoVah4PjUljKY1GyZ2SYXF4/VSPOV76dugZdnNhi1Oun0vGM1fHIBjWrH5RSUNwjeyuSPSAmIbt/n7AwdB3IxbvGlVew3JpXlsdxV6P1ZzaM7dQ6D7q8FLDaqWfUk/F1FoRMJaGwgwsWLKDnnnuOrr76ajr33HPp8MMPpyOOOGLCnyAkSrh7XLwuZPGgnQRAYQNFDF6MIBllhtcdPv7h6W9hoYSgkvh/QY6NlVFYoIK5c47Nwi562M6xW9iyCiv0GLjk2K106bpFkwYr2Mb+PLuV/BxXQKHakhyOhYIy68ZXokry7LzyVZxnCwZgtwczAqpm1rDygiWVz68ktQ+0riroa/Q5+j6Z5s0z+cwI+oj8n3mm47I2HfRcTbCNCcdDbwQnE1NxrYCSu6Y4h+WQLxBcmYclaVDprtB9W1o4wHimgLqgTnCJhhwGcIWBxRQmkpGy8GmJ5IqCa8PiDH2q19dadxejPmdGRuTj1N7b65dX08KKzH0OY401tN/DUiqkdKoomCAroZyCBerGtfN4DIjFw44hF7UPuulAv5MXG6G4iYfQtY6fR1VFObS6voTqS/I44Dlklz8QYIXPnGIHHexzcsZlfOZYTWw5jwUCCGWMBZfPKeZzV88t5aQ3qB+uHc8CIuoLy8+bn9rD2aWRJbCuNI8Oryum8nw7xyRUr6PKRXgEIBEE3gn7e4PhMCL1Z7aM7VC3DcfO4wxE2VJnQTBMVr7m5mZ6+OGHqbS0lD7xiU+Q1SqJ/YTMXcVVJ1xYVWpqd7JbG5RACFb53bOWTSpzKm5n2rrrpb8tyLGyxZS6z+nxsbsdMp+U5dpZGYXBDP7KCxz0uTjS/aplIv06rKCgXIKJNlbIcF1kftKWE8hVJm2jPnNKcunK0w/hwcJU+j1aWuCfPL6TmnqdbHXQM+Jh5RnqmSzzZln5Tz0i/1NHKrMS6a1SQ5bd+VIjK9axwo3JRKKuFeokA4otxJhCEPRcuCz7AiwL4G581d/foQ1r0+/WF7SUaqGuERfXVVVMQSkFCX7+kXVTdm2GBYPWvRt9mw6LgGzMdJVNiHxM7L0dzMrnoUwn1lhD/R7ue7CU0mY/1spK9TxYUsFSCkopZEuGpRHGqIlYTmqvBRmCmFKwVIJ8WVRVwNZT77QOcQDz+SUmcpsDvA2LedVSa6DfM8FiHhZVpxxaHbellKqAry/LZfc9lF+ca2PLq3BXwHC5iOMO9o1x6AjE4UukvzORc4+spyWlJhqhHMnKJwjTIKG3JsyTv/Wtb9Fpp51G7733HlVWVk6nbEGYQLQMRVMdUON4KGOwmoNPC/zeAgF2r/vU0UHXClUhdcPjO4JKnoCSsNuZtu7wn9fG8LjkhIW8X7sPmfsQJB3b8Sqj9Mq86qzldMHRIxNil0QqR28bbYzHfFwPbdphxLnCxE2dXKI/0cdQSqHPMXjBPYDpdqITsGj3PtVZrWYzIv9TR6qzEumlPsdvFhOm0tJc/o3j94vJBCu+E1CkqJOMu17cR//Y3saWnVBKQe+DVXNMiG599n3a0thHy2sL6biFFVOWSYnyl1eb6d3WQU5K8fL7PSz7oTyDAgkKKQsCnptNCSnOwpV8mPjBarQk18pWqtjvdPtCiTFSFecpGzNdZRMiH+NHfW8HAgEOUZANxBprhCuKIimdVVkL9z2Xz88yFsqimsKchOMSaeX2gf4xXnTFAkKhw0ae8dhRsJgvyjVRiVuhg4MfBCaHLOp3ekMW84nKoXBFE2JKwX0P9YBSKvxa4XIR75FocayycWyHUB2IL2fGPEMQhJlVTJ155pn06quv0q9+9SvauHHj1EoThBQPqPFiW7e0kv6wqTm4Cm4hVo5gcqQOANSgjZh4YUKCF6xqgq23ehVLSRZptScZ1lmR2qg1g45VTjzlxjpGXS3rHXHT4JiX47FoY8bgXGR5QV8j8x9is2PCh3uRSFtlMpUZiPxPHemKQaSX1EF1N8PvGG4XWOHWm3TEkhdsQXn+Kmooz2NXOVhKBTNIBbNKIQDvS+/38N/vX95P5x5RTzeev4pmkgt+8wq91jQQym7KcQDzbCxrgm7RCByMxBPRlVLhbQ9X8kHuwWVaTZARtJr1s5tLIkkmpkO641oZHZGPxieecVOs5AJaC3PEDoUVJSyloJSKZTkZqXxVbsNF+K6XGlmmIuOm1kJeCVgStpiP1d5wRRPK5ZhSJy5kV0VcE9cId9FLJPGCWHgKwuwjbsWU3++nt99+m+rr62e2RoKQ5AH1BUc30PO7u9mvvqrAwWbGdpOJX3bq9fGdxWTiyQgCkC+bU0i9I55Jq1fxKkriWe1JZEUI6ZQPtg9SfcBOi6uKpnXdWN/H00b0C6wooJSCP32B3cyBOJGOeP3KOaFBC+7b8ppC6hpxs6sh7kW8yGQqcxD5nzrSmZUoUlIHxCuBwh5uF+HJERJRHkPBs7y2mN33cG1YCwy5fKHvoaRCnL6Htx2kwlwrHVpTlHAyhngC9W5p7GWlFJdJRIFx6y3IMLRheDwG1A3nHhbVeitS22O5d08lycR0yMZMV9mEyEdjk4iMi7QwGbIwH/XwWIgtzNctiqnE0lrCRyo/NKZTJlvm7+oYos4RN+XYHXFbzEdqb7iiKFzRhEDnqMP/Pr6TXcARxgIeA2pdE3HRk0VJQZidxK2Yevrpp2e2JoIwQwNqHIeXI15yarYMdQCAYLS4PhRWiIOE1W3EoYJrB4KYa1evpqMomc5LFufet6WJis1uGgy00Ybj5id0biLlxttG9Avc92ApBaUUMm1hxQwKPtwbBNZVBy3oc/Rlou4qMpnKHET+p45MyEqkN+ngCUZYLBAE9IZLitVMcctETITgGgcLSyiCVIsl1WoJSiKvn+ieV5p5hR8ucJ9cUx9yvZ4KkGuIK/iPbQc5axXklDJe3rh3N4OgwSMe4nJRx2hKqXBZGZ5dK5p7d6oD42bCM2VkRD4al6mM+8IX/7QW5kNjPk6oAPn3tVMWc6DxSEosjo9qNvEn4j/FKl9P8fP8rk5qbuugebU1dPKh1XFbw4e3t2vYRU+81zlpLKktD1z0+60ck9BEJl68vOWZPRPqGs+CrCxKCsLsRSIzChlNsgbUkVZq1OvDiqquOIeDN8JPH0oWNbMclFc4bqqKkum8ZNVzoTGrLnDQwGBkF8NklButjer3av9hxU+dXKK/EMQdgyf13kw3gKVMpoTZyFRcHmYCrYsICI8FgskTFDHIKIXMooglh0C78chE1TXu/q0HODMVYqEALAyo2KAwUhTqGvbQ71/ZT0/u6KBj5pfS0QvKQ3VB3boRRNnupbJyP0+ItHXF96/t76NXm/roYP8Yx1OBiwkUaR64F4eVCQU6Mltp4+VFQisr1exaiBkD9xwoorTZqGpLp5dkwijPlDC7yUbXrGQskLGF+aiHlVIg326hEY2FORbyIo3bmvpGqXvEw/GL4ilfq/iZsKi5Y4i9ACCXotVbr73INoi65jssumPJUHlvHOC6wiLMYTGR26/wNuTwbFuUzMZnXRAyAVFMCRlNPAPqeF8A2heo9hz1+ogrgiCUpyyt4tV5mE8jFa66QnTmiuopKUqm85JVz51Xmksms5cq8u3U3D+W0LmJlBtJGbS9pX/Sapk6ccOABRYIUEqp90bbv9pBVyT07qFMpoTZSqZkJYrkQqJOnhAfBe54yCwFxQ8sjuJVHkN+YFKGzKJ/efUADbt8bC2luvTl2KwcNBwgZkpLr5OD6z68rY1jNmHiNuJG/JQALSxSqGm4kRSTmbNSIfMfXIxH3D5WRnEs2nEFFGRVUY6NPGPBayPIOSynVtYVcjKJePtblZXRsmvp9V888tDIz5QwO9Gz3j73iDrKdJKxQMYW5hZYmAdYKYWxpt1iYpkRPh4LH7dVFjo4vATCIeTZg/WAjEMcQG0Mp2QtasL1GMp6yDU1WQPqjrpW5Mc7loRQVZ2kEyfbFyXFDVEQpo4opoSMJ9qAeiovAL1zws2p9ayNoJiBcgqfiShKpvOS1Z5bbjVN+dx4y9VTBqlt1rO8UieX2r5L9J5EO14mU8JsJZEYdDNBNItL7eQJk6QDfU62FkJ8qESUxx9kFm2gp97roObeEXr5/V62fML1xg2pQp8A0x1kk4IyCajZ/aBggoUVFEOD45YJmPzx+Zr5ESZdLq+PcmxmKsqx0rELyuj4xRX0mWOCFrLxEiu7FqwEMs0dJd3PlDA7iSRLVjcUU0mGJzBLxgKZ1sIcllKQS8hwCuvM8PGYXva6qkIHK4dQvtvrZ6U7klPoja/URT4orvQWNSGXIo2n1LEYFPpYFICcRYB01B1jwFhjSViqoq7dI27ye3wsl6uiZN6byT5PF4gHm2lyXxCyCVFMCVmB3oB6Kq5q0c7RrmRHsjZa3VA6SREzky9Z9VyYYyOApcnkoA0JnptoueHKIHz+/c3WiJZX4ZZoidyTeI6XyZQwm0mXS0A0i0vt5AmKGGTghGUSMk1Fi8sUCbTrq+sWhyZHtz77PrvHAdXaCcopZE21Wszk9gdjU0HtNK57YkwaRRXAsb5AUMEFKyyA/0OJVVPooG+cumRaK9k4FzGl9LJrgUxwRxGXEiHdRJYlbiop0fyAM5RkLJBNsDAPBFgppTceU8dtd73cSLs7h6kwx8pyakLmPas5pCDSjpfCY1NBiaVd1MQ2zofrdLhSSzsWWzGniFoHg67PcEGGTK8qzJlQJwQ616s76orjYAEb6bhU9Xk6wDOdCXJfELIVUUwJWctUXNXiPSfZpsTTecniXKwsHmzvpvo5lTGz8iWr3Kn0RaL3xAixBATBiC4B0X73epMnZJjCBGa6ihBtbCttfKiAX2GrAUycgDqdhZJJhWNGab7DsbDowrmQL/WluRPiVE0nmLraRrQZMaXCJ224frrdUcSlRMgEIssSB5zHKBtIxgKZnoW5nmzZ2zVCbpifapTsOBbnQalUm+/QjQEavsjn9Jj4Op0jPnL7rGxpBaVWrY5SK3wsVlecy9fG8SrKuCv0qNvPwdBnWqGUjYuSeKbTLfcFIZsRxZSQtcSjMAmfJGnPybVbOPseAneHvzQiWRvFSts7Uy/ZhRUFVGL2UFlZ4ucnWq7eZCZeyyv0I1bqELATsRFghq7eE70Ja7bHEhCEmSLdmYnisbhUwj6TpQhRZRayAIZn1IMiqjTPpokxpYQsp8wmE7vqFecGJ2FOT9DtparQNu3MfhSljXp9kW53lHQ/P4JAMX4LGNf09fVRtpAM68No4zHIFii4m3qdbOE5ryyPbFZz6Hcbbbykt8gH+QcleYXNSz1eG/36xUber7cIGO3aqizB9V3eAA25fOyWCPSSRCRDoZStlp54prPVDVEQMgFRTAlZS6yBf6RJEj7hKrKnc4SPqyyws8Ip/MWhlwoXwdAjDfSz9UWqrTfQm8wgBlc8q2DoR/Q3MrEgYCfiC8C0O5JCL92TN0HIVDLBmjDS6rc6UUFcpbrqQpYTd77cyAoirLBHU4QkKidxzHfPWhZMSBGWIXBiVr5y3ax86nYifRapjnrKHkwkoYzS9oXa7nS6o2TC8yMIKnq/hYA2+FuGM9PWh6psQYB0KKWQ5bR10EXLayBTPNxvCDcRabyEOH8ctHxwjK2dVMXS6oYSXtQcCNgnKZ6sYUHUI10bmamjZRVMtjzJdkvPbHVDFIRMQBRTQlYTa+Kkp0TCH6ylKgrsVOiwcsDcSCvJ2pUfvJwjDfSnY0mVTsIHAMcvLI/YRgyKor1g0eeYnGKFb2l1AQ27fex6gxgsNz+9J6JCT17igjCZTLEm1Fv9VpUeCKg7MOalPJuFU5GDpdWFERUh05lw6NVDndzC6qKsrIzMHJBq4veJEq2OesoeuO+B0tLcUF+oE8nwGHyz8fkRhGx2zUqV9aEqW2Bp3jPi4bL8fuJsfIU5ttDvVuvqrCrdVZmFgOUIXD7g9FJNcc4Eq7RwS55g9j1lQhB1XFf1g9Yq8xPJKjhdjGLpma3PuiCkG1FMCVlPtImTnoIFYPUHJsnIOmIxmSjH5p2QrUS9RjxuZ3jBR3qR6l0nk62jntvdxatosSYz4dfB//+5rZWae53cnz0WD9UV5/AA5v2u4Zgr9/ISF4SJZLI1IX73CKT7dusgmchECimc4a4kzx5RdqiKa8QoqSpwkNPrz7gJh3ZSBKUbJoWos1pHvXcAYkoNOD0T+qI8f3K2rVSTyc+PIGQTqbA+VGULwh/UluTwWAoWUFAIhf9utQuhGK/hszTfTitri6l1wMnZUdWg5Xu7huhg+yDVB+wTlFp3vtTIVp6qHLvlmT1cvhoYHWag2vFZvFkFp4tYegrC7EYUU4IhibZaDJNnrCrB/QKr25ggucb8dPtze/lFCEWTx+dnU+qCHCtdcsLCqG5ncF3Re5H+7bUW2tzYN2nlPdxNJNa2moJWHVwg+Hk854Tvi9c66rRlVVzvSJMZXAeTtRGXj/yBANmtFt6PeF2BgEI2WzDOS3Ofk9OnL6kqlJV7QZgCmWxNiNhNwXhKUMXAhc9Cn1hdy2nF9WQH5GFIcT3ygeI6kyYc6qTIZjbRjl4n+f0K+RWF637VWct13wFo819ePUAK+UJ9gb7JBDL5+RGEbCEV1oda2YJseIgvtW5pJV1wdENUd2LE80TohLqS3GDQ8pK8UNByjNWQ0bnY7KbBQBttOG4+ywTIA2RSVeNNYRy8Z8TD1u7zy/J1rZTizSo4XcTSUxBmN6KYEgxJtNVivJRhGu30+MjlCxCcP3zjqZzKC+z0ZnM/+QNEDpuZ+p0eXkmK5naGgUJ4wG9kgnphd/ekeCvIZIKJm6ocWlZTSDs7hrkcmznoAoe4AuGBdbWDi0Nrivgc9RhM8HZ3jkwYLACtEurMFdVcbiTrKG0geAyE8Bcpxgr6A7Fc0GVub4AsZqLFVQXUNRxM7Q6lVEAJcFr2U5ZWhbJWycq9ICROuDVhJsSyQ/mQbYfXF5OXs+WZ2JVvdUOpbtYp1BnyEPoaVUaoiutMmnCgLpDdqBsWJlBXhMFB3S84ekT3HYDPv7/ZOqkv0qlwC39GRNYKQuZbH8ajSA63KMKYE/E8Yd2ZZ7dOsuSHsK0ucNDA4AchK8KVPzgX4FrRrJTiySo4XcTSUxBmN6KYEgxLpJc8/g//e5fXzwoZKE2wgg/3EmQbgVIKYNUc+Z6wGgXT50iWSU++2069I24adPlCAb/PPmwOPb2zc0Ja350dQ3Tf5hYqzLHwoGJ/zwj9Y1sru4IgpS/q09gzSuX5NlpcWcCDhV89v5fNrUkJ0JxCCx3o99Aj21t5AIEAl+93j9DbBwcJh+TYLOxec8uze1jJBWsv1R3l/q0HyAQFUkXBJOuox9/poF0dw2y6XZZvYzNxbUwVoLaVgw1jZc1iZqcVDGfQXx4/Yg6Yye0PUH1ZLg+KsI2AxdHuhSAI2RcUVut2Er6qHcm1Gi4i88rzWEb6/B8oruORBdNRxiVyLr5Hne7Z1MQaKavFTPPKc9mCIZrrcaS+mM3PiCAYiVSNYWIpksOVSpA7GHNiTKZnyT+vNJdMZi+PBZv7x3SDqOPcKjWLss0aVYalQtEt40VBmL2IYkowNJEC5qovZbijFTisHO8RLn2wKFLBirlPkzVGb8APCyj43WOSBUVMrs3Myq55FXnBDCkDTjat3tM1TH2jXg60PuK20LDLx4FyodDBfmRhUUvuHfXSsGuArGYzx2OBRZLDYiarL0BtAwFyB0zUPeyhriE3nw9QPgYVnB6dgmnToeAa9QbYHQXWVMU5Nh5wwGwbyioMRtYuqqBHtrUGz7GYWDEHi6hwy67JkxuF+4fIz1uIOVCUa6W+UQ/XQc/MW1buBcEYQWETXdUOBtoNWkotm1MYss5UFdfRlEfTUbTEOlevXNTp+d1dHOgXCwAIJIx6ow3J6IvZ8owIgpZMsPScLpkwhtGTN8h8rGfJryqwyq2mScqmcOWPGrcq3TIsk/p6uhjhmReEVCOKKWFWEumlPOr2k9US1BK5fX5WFmElqaJgcmY5xFmCMgi6oQJkKvEr5PYpPOm666X9HMcKWVJgYQRrqFIoitw+cvv9NDocDFoJUAauoY1KgmtZzcGduKaJAmwVpc6NFCVA3qBOKKSYUnFYcDRR57CHlWTQH1nIxO3qGnLRwHjKX7Tr3++08Tbiw+A8NywDht0cM6UkzzY5o2FDKZ/XPeImf8AfbIOJuN/KCxz0uWMb2J1HXsSCQIYOChvvqvYdz7/PcUngrgw5OOC0hTJG6cW+0yqPpqNoiXVupHLx3cUnLOTvmnqcLMNhjfrDx3bQjrbBUKyVqfTFbHtGBMGIVnzpVjhEkjfhC4HoZ4SB6Bxxk8nkoA1RFgvxmQkyLN19myyM9swLQqrIGsUU0p1+7Wtfo8cee4xTQp933nl06623UkFBZMHlcrnoW9/6Fv31r38lt9tN69evpzvuuIOqq6tDx7S0tNBXv/pVev755/laF110Ed1www1ktQa75oUXXqCTTz550rXb29uppqZmhlorpIJIL+Vnd3bSU+91sntdaZ6Ng9sisxwmVlpXOKQJ94XS5gZjiwy7fWTywe/fRCvmFFHr4BgNj/l4YnNodSF1DLtof88oW04hCHBlgY0VVyrQ80DJFNQzmaimyM6uL7BNUq2jgrogMymsfiKyTDiHqL4sj4O3H+gPusw4bBZ2R3G6g5qs2hJrKBbWpn29XBc+G75+uCYr5QKhwJj43NszQs/t6qRTDq3m1bnbX9hLQ2M+tpL61JH1oowShBkmE4PCxlrVhlJKa1EKt2VYqKoZo2Ipj1RFC9xQYGEKa8+e0Ynxm8ITQ6hEOxdEKxcTiIpCByujIBDHPAFqHRjjtgA95VQmrPBn4jMizG6i/cYXlOdRtpEpCod45A3qtbqhmA62d1P9nMoJ8nGq15wNfTtdxHJVEKYOZqJZwec+9zl677336Omnn6Z//etf9NJLL9Ell1wS9ZwrrriCFVkPPvggvfjii9TW1kbnnntu6Hu/309nn302eTwe2rRpE/3xj3+kP/zhD3TttddOutbu3btZGaX+VVVVzUg7hfSBF0Zb/xi91tTP25hALazMZ5e2ezc1cywquOQh8xxeNIjhBMUV0ubiBYQ0urB6KsixcPwnzpBSnMuWSrk8KXJTTWEO1RTl8CStqjiH0/vC5Q7nIehujtXMVkj4flF1Pp+HWAGVxYiL5eD/429eRS4rxHAsYlDB3Q/XQJpyvAhxHq4FBRRcZ3A92/hByLpS6LDxxAU7SnJtrGBDMHh8IgA82oX6oq1oMwcv39RMVzywnV5r6uNrodxgbIIcjlkgL1xBmDnUFXBkfIMVDD7T7W4Ra3AOSyno0/PtwcydUPDAPRkybKLy6AMlOLZV5REUKoib93brIO3uGOZPbKuKFkxkvvW3t+juV/bzJ7ZVop0bq1yAOqKuqDNAG9AWtAlty0Sy7RkRjE88v7VsVTjgE9uZKg/AwooCWllXzJ+ZTDb27Wx45gUh1WSFxdTOnTvpiSeeoNdee42OOuoo3nfbbbfRWWedRT/72c+otrZ20jmDg4P0+9//nu6//3465ZRTeN8999xDy5Ytoy1bttBxxx1HTz31FO3YsYOeeeYZtqJavXo1XX/99fSd73yHvv/975Pdbg9dD4qokpKSFLZaSOeLEcHHER8K2ZiQOQrbsCxCDCVYDyGG0iUnLOTzcA5ePgg4fvKhlazY0q5Yl+bbQ1nxMFkoyrXRsQvKOLMetutK8+iY+R9k1lMCCk8oYOGEVaOPr6qlXR1D5A+4qaLAzpZNCDgOlzpOS26iCRn9tGnMUQYyRGH7/CPruA56dfvn9jaOewWLhos17UJb0eayfHuwTwbH6NG32mhuaS4trS6UlSBBSCGZ4jIWD6gj5JnWonTU42dltqpYisfCBzIuaA2q8CfLPI281ss6pfZLpHPjKRf/R10RawpKKbQh2JZARrvGZdMzIhgfI1nxiavszGGkvjXSMy8IqSYrFFObN29mpZCqlAKnnXYau/Rt3bqVPvnJT04654033iCv18vHqRx66KHU0NDA14NiCp+HHXbYBNc+uPvBtQ/WWWvWrAnth9IK7oArV65kpdWHPvShiPXFcfhTGRoa4s9AIMB/RgLtgSLHCO3qGBwjp9s7/mIMrpCjXXn2oEXS0qoC2ts9QhuOa6CTD60KrUDBVLpzyE3VRQ7e9/AbB+m+rc10oH+UX0Ybjm2gc4+spzNWVE84Di4okbaB9rt93UN0sL2H6udUkMlkjnhctGtiG5kH46mb2q7nd3XRfZubWSmFPkFfoE/QN+iTynw7Dx7Qd9lolm/UZzmcTGqTyMfpgd+Z+ltTrxv+O88EqgrtVJZnIyUQoKExLzk9CllNROcfUcv1R93xufHYBvrdfxppT+cQK8ahiIc8QRw9tMlhNdGq+iKOuwflFhTt+B5AXqtZpyrHs06psgifkc5FP61dUEov7ummfT3DrNg/74i6UL0A/o+63v78XrYmhVIK1rFoE9qWKc+q3r3Xe0ami8jH1GA0+aj+xsPHHepvLZueKfzuCxwW6h11scKhF5bzDktGyYNwsqWPs7FvI/VzrGc+28jGOgvZS1Yopjo6Oia5ziEGVFlZGX8X6RxYPIVbOUEJpZ6DT61SSv1e/Q7MmTOHfvOb37BSDIOF3/3ud7Ru3TpWiB1xxBG6ZSNG1Q9+8INJ+/v7+8nnCwaeNgoQWMPDwyyQoSjMZgrIRQvhgu8b5Qx2PrObFhcTlZjdVGomGvR46dAyMy0oUNhnf3RokM/rH/Ww5VGJ2cSx0NYtyKMlpfND++tKcnl/iZmopAQr9p6Y20D7XbEpQOZCExWaPNzPkY6LVUa0uo2Siw62D01oF9qKNof3SbGmTxYWmbjvcJ1sxkjPcjhoV6Yg8jG5vLi7i57c0cmBxRHLbv3yajppafpdzSFTNq4p57qNuJBd1EwnHVJB5xxeNkFWmDwjVJPjo2IzsqL66eV399OWXS3clmPmlwZlsuKm4gIbDbo8VDwubwC+87pHyGJRKOB208IiS0gWheR52Lk797fSH5v6ub8KTT4qsAXd9rbva6V/OHwT+u6Cw8vI7q+lF/f0kD8QYDft9cvLqcQclKfpJpX3XuRjajCifIw07si2Z0or01yuYapheVCdMfJAj2zp42zs22j9HOmZz0YyST4Kxietiqnvfve7dOONN8Z040snS5cu5T+V448/nvbt20e/+MUv6L777tM956qrrqIrr7xyworX3LlzqbS0lIqKogcfzDYgjOEegbZl8ksvHsrKiM7oV3iVo3EYwRcdtHJhBe3qGKaD3di20aE1hXTbpo5gdj2vn9uOSU1wRWQeWx+p19JjqpYNU+nnSGXp1U218kK7gqndFQ6ajnYdWlPKfRCpT9DuwxbWUbZjpGc5HDWZQyYg8jF54Dd+77ZeUhQLVeTnUQdca7f10qol9RlhOfXJtWVcl0gy74P62yk3x0LvHhzkWHmH1RXQgMtPj+0epvXL63iyEpQ/E+VN6fZeevytVqrPD9DBUTOdtaou9N1keW7jic5jOzq5v/JsdtrRO8gufofVF1KHy6/bd//v1DJatyrzLNJSfe9FPqYGo8pHvXFHNj5TsWRappFNfZxtfRurnyPNA7KNTJKPgvFJ69OGjHlf+MIXoh6zcOFCzn7X1dU1YT9WjqB9jpQZD/sR1HxgYGCC1VRnZ2foHHy++uqrE87D9+p3kTjmmGPoP//5T8TvHQ4H/4UDYZXpL4apAGFslLadf3QDrZlfNiE+h5q+Fgqbm5/eg5AmVJ7v4GC6mNQcXl/MGe7u3drC50byh59uxpFE+jmRsjhWy9YWbldZgYPeHp8cHl6XR06vn3Z2jNCVpy9lBVx4nxgthomRnmUtmdQekY/Jo2vYQyNuP7sfm8wmKs/PYdda7F9clRl9iUxQi6ti13/A5SWFJY+JkEBUbcvqeWW0/rDakAyGHNrf6+TzIZtqS/NoXiFRwB7cxneqjKoty6MrNLIL1/j7trZgeWMoD9lNFfJoytPru2htSBfpuPciH2cekY+ZTybKA6P0cbb1bbb2cyIYrT1CZpNWxVRlZSX/xWLt2rWsYELcqCOPPJL3Pffcc6yhPvbYY3XPwXE2m42effZZOu+880KZ9VpaWvh66nV//OMfs9JLdRVE1j+sSi1fvjxifbZv384ufoIxCU+Zq25v2tcTSj/eO+oJBtMl4vgleoEatcobkKr0sdFS1YJwhZI26CQmh8GpoYmGXD7OvIe2YmKHzHuR+kgQhNST7UFWtfXPtVtCgcoRz0nbFsiabc39E5TtaxeW8f/nleZRkd1LdRYbx5iCPAs/Fop5VX6p5eXZUF4wKDriT2Vz32XjvRcEo2DUhbpUIH0nCIKWrLDPQya9M888ky6++GKO94Sg5pdffjl9+tOfDmXka21tpVNPPZXuvfdetmgqLi6mL33pS2wSjVhUUDZ97WtfY2UUAp+DM844gxVQGzZsoJtuuonjSl199dV02WWXhVasbrnlFlqwYAGtWLGCXC4Xx5iCUgwZ/YTZhTb9OKyL3L4AWZGNT2dSE26xpE6iUpFxJFJ2k7+91kKbG/smWVHpTQ59gQC19DrJB395E9H2lv4JiilBENIPZAd+x5A1ajZObGfLAF9bfwQmryxwsEK9Z9QzoS16ynZkTLWYg7K33PqBDIZVVbRFALU8lFGeb+dVbjVzabb2XTbee0EwAtO1hJ/NSN8JgpCViinw5z//mZVRUD7BrBBWUL/85S9D30NZBYsopzNo4g8QB0o9FoHLkXHvjjvuCH1vsVjoX//6F2fhg8IqPz+fLrroIvrhD38YOgbugHA5hOIrLy+PDj/8cHrmmWfo5JNPTmHrhUxBTT+OrOPISgfzovZBF5Xm2eOeRKmr29huGxjj42NNJhBP5GD7INUH7GzqHI1gjCii1gEn1ZXkhcpCHWD5FG2yhglaSa6Nekfc5FWUUCaqJ97rpPUr58ikRxAyDAzk8TsOX3XOlpXo8PrHsurUKttPX1ZNmxt7qHPETSaTgzYcN49lXLRFgHjKy1TC72mkey8IwswTzTpdfovRkb4TBCGrFVOwerr//vsjfj9//nwWcFpycnLo9ttv579IzJs3jx5//PGI3//3f/83/wkCBv+Y9CCmlJp+vH3ARRvXzqNTDq2OaxK1qbGX/68GTv/1C/t0V4q0ExC4pdy3pYkz4Q0G2mj9ihpa3VCqOxFRV6BG3D4adnmp3+mlOSW5dMrSKnp6ZyfV5jtiTtagLLv12fepLN9OuTYL5VotM2bdJQjC9Al3rc22lWg99+l43NY+dfRcOv+oOs6SWj+nkpX2kJ2xXNxilZeJRLqn4lYtCOkh0lhPxkqxkb4TBCGrFVOCkG7UyRECnasTHqSB1SqltMeprnHdw26yW8w8icLftpZ+uuulRlZyqdfRrhRpJyBwFcRnWb6Nqgsc1Njmptue20sVhY6QlZY64dSuQK2YU0Stg2Pk8yt05emH0NyyPFaKYR/qhDZEmqzhOrh2IKCwUkpilwhC9mDElehobmuINYmU4mVlBYZ1cTPiPRVmH9lixRkvEudt6hi974z2rAtCqhDFlCDESbwTHmyfuaKa7nmliTM/mU0mqiyws+UTlEh4WfkCiq71EtBOQJr6Rql7xEP1JTnk9vtoeMxHfmTPyw8qjrSTk/AVqLriXL4uFGD4fllNIT36Vhtbe6FOpx5aqfvCNOLEThBmC0ZdiU7Ebc1oLm5GvafC7EHP4u/cI+oom5Gx0tQxct9lm8WyIGQSopgShASIZ8KDl9I/t7exUgoZ7mqLc6ggxxpSIkVbKQqfgFQWOqhtwEVdI24qsZjI4w+w9ZWei12062L1ZmfHMBXmWGnY5WPF2At7uumO59+nS09eMqV2CoKQeRh5JToRtzUjubgZ+Z4KxieSxd/qhmIqyfJM9DJWmjpG7DvEgxXrVkGYOln+ShCE1IOXCzLU6b1k1AEYFEhww7OzK5yHU5ND4aQqkbCCghhTUCzhU10p0k5AYBEFl7uqQgfZLGYacsH6ijgYuZ6LXbTrotz+UQ+NeVAvMxU6rGx59dAbrVznRNspCEJmEk0OCNmJ3FMhm1EX3KBUVS3+guMhNxkBvbESxlWb9vVEHF/NRvT6xGjjTDzT+s960CNCEIToiMWUIMzAAAyWTj0jHl418fuJLZ4Kc2whJZK6UoR4U2BNQ2nIJx1ugMiCp5o3f+PUJbyyiAC/O3r99MSOrtB3OFZ94eHFjmuymdb4NdWXPcqFcgsKs3y7hbyBYMY9byAg7iCCMItWoiX2Reajd4+MaF0gzA4iW/w5kEeYjIa4cs3ePsEzLdatgjB1RDElCDMUIL22JIeae52EZJFQCoWvcCPmlPqi9vgCrMRy2CwhhZM2897eriE+54yVNbT+sFqenGxv6WcF1t/fbOVzEEPq/2/vXoCjKs8Gjj8bkmxIQm4khGsCeMHLh5APFFBbW3UM1WkVcKoWsSiKbVFm0JkOjOOt7YwXaJ3i4NiLovihItapSq1WRaPVgIBQWqTUCxK535KQC7lAzjfPazdustcku3vOnv3/ZuJ63j17Oe8ent199n2fV6fr+d74xfpmtSmz8t6EYaZwemPbSZOU0pFXWuScN0zAfYJNZUuVLwfJLNxr5KbpiUgdoeoJjS7OlaNHj4qbsFBBaveJntNurZ0FJAKJKSBOH8B0Rbzyomz5zpgS+eG5ZQGjFnxv1ANzM2Xr7noz0OmcYfnS3H7SJJwq/2dI5yp9z6z7UvLTWqW+Y6/MmjzSvKHrPr43+j11zaawua6+F+qN31dLSqfv6Ugp36p+vGEC7pdKXw6SFa8R3CrYiD9dUdNtWKggUKr1CaNbgd4jMQXY8Kbk/0Zd1/J1kXSPaHFzK+gqfTrsqjTXK3X1X6/Epzfwf6PPzkw3Bc37Z/YL+8avySlNePGGCaSWVPtykIx4jeBmqTDij4UKAqVin6TCuQ7EA8XPgTiIVNDR/406o59HZ92JJV/XfQq2Sp++mXv8Cikq/yLpzW0nTLF1nUKo2+He+N1WbBJAZN0XVkiFLwfJhtcIcPdCBW4vih6qwDmLNwCIBiOmAJun/B1pbJOSXK+ZvqEr+HWfk+77ojIw/ZuklRY212yW/zz2H4wbampMMa8dQLR1Xvy/MDGSMrG693mk1whA8o6ad3uNv3DHx/Q2ANEgMQXYpPsbter+pu37oqI1pg40torH45VZ//2i4luFz/82fLkEEEqqfmFyolB9zhc4wH1TudxePy6a42N6G4BISEwBNur+Rh3sTVu/qIwvy5fd+w7J8CElcuqgvLC3540fQCip9oXJiSL1OXEccBe3149z+/EBSAxqTAFJsgTt/wzLN5cAECv+dex8Xyh027f4AmKPPgdSi9vrx7n9+AAkBokpAABSFF8oEo8+RyrzFcj+4rA7C4AHE00B8GQpjE6B8+D21B2X6i+OOP71A5yMqXwAAKSoaApuU7uu94L1HUXOkar8a6vlevvJDRUDZdqUIkkF4erHJUudPwqcB/fSpt3yty2fyxfHRLK9GY59/QCnIzEFAEAKc8MXJifiSxwQurbakaYWeeOTAzLutOFdame6WbD6cclS548C56H75Zn1u6Q0U/slRw41tTny9QOSAVP5AABIcfoB+vxTisMWRtdL3WaqQmTR9F2wPgdSqbZaS/tJOXCsVVJZtDXnEjXVL9TjUBsvOF+/5Gdl0C9AHzFiCgAA9GqlpVSf5hfq+FmlCghdW03/PRxpapXBWf2kNM8rqax7vwSrOZeokavhHiea55mKfP1S39IuHemZcripjX4BeokRUwAAoMdFuvVLzIJVW+TuP//LXOp2Kgl3/BQ4B7oKViC78qzSlF9tOFLh8J6MXI1mVFWofSI9DgXOg9PjnzWpXIR+AfqMEVMAACBAuCLdyVIXJV4iHT8FzoFA/rXVBg3IlIK0NrufkiOEqzkX7ejLYKOdpv/vsKhHREXzONTGC276hOFyWqFHGiVLBuf3p1+AXiIxBQAAggr1RSTaL0tumOoX7Bj4Egf0ji9x29HRIUePHrX76ThGqMLh0UyhC5UoH1+WLwVp0SXTo52ql4oFzqMxrKC/FBUVSVoak5GA3iIxBQAAQgr2RcRJdVHiKdQx8CUOQCJEM/oydKK8VQoKPFEl0xnlCcBuJKYAAECPRPoS44apfpGOgS9xABIh0ujL0IlyLSz/9XTJaJLpjPIEYCcSUwAAwJa6KE6Y6tfblfX4EgcgUcKNvgyVKNfC8r7pktEm0xnlCcAuJKYAAEDC66JEM9UvUuLqi8ONsntfvQzvyJRTB+UFfY7h7qOvy6PzJQ6AEwRLlGsdr0j7AIBTkJgCAACOm+oXKXGl1z+z7kvJT2uV+o69MmvyyIDEVrj7YGU9wBmcMHLSDaJJlJNMj/05O2pgtt1PB3AFElMAAMBRU/0iJY1814tlSWmuV+rqrYDEVqT7YGU9wH4vbdotK9bXJPUiCUgtAT94TCqT74wiOQX0FWtaAgCAuNBEzvmnFIct1tvRYQVMk/MljTRZ5Esa6ba2d7/eE+T6aO4j0nOIdAwA+mZP3XF5Zv03yWO91C/8mlQGnKj7Dx56qeewnssA+obEFAAASCjfNDmPx2NGKeml/zS5SEkj/+utEEmlSPcR6TkAiK/aprawyWPAaUL94KHnMoC+YSofAABIuHDT5CLVd/JdrzWmDjS2isfjlVndkkrR1Ihiqh5gn8KczIgLDABOEmpRDD2XAfQNiSkAAGCLcIV4IyWN9PrxZfmye98hGT6kJOiqfNEknigGDNhjWEF/mTWp3NSYYoEBJINgP3jMmlRmzmUAfUNiCgAAOFKkpNHo4lwpSGuToqLQ+5B4Apxr+oThUjGyiFGLSBrdf/DQVfmOHj1q99MCkh6JKQAAAAC2IHmMZD5nOzo67H46gCtQ/BwAAAAAAAC2SJrElA6RnDlzpuTl5UlBQYHMmTNHGhvDLyfb0tIi8+bNk4EDB0pubq7MmDFDDhw40GWf+fPny4QJE8Tr9cr48eOD3s/WrVvlW9/6lmRlZcmIESPk4YcfjumxAQAAAAAApKKkSUxpUmrbtm3y5ptvypo1a+S9996TuXPnhr3NggUL5NVXX5XVq1dLVVWV7N27V6ZPnx6w30033STXXHNN0Ps4duyYXHbZZVJeXi6bNm2SxYsXy3333Se///3vY3ZsAAAAAAAAqSgpakxt375dXn/9ddmwYYNMnDjRtD366KNy+eWXy5IlS2To0KEBt6mvr5cnnnhCnn32Wbn44otN2/Lly+XMM8+UdevWyeTJk03b0qVLzeWhQ4fMyKjuVq5cKW1tbfLkk09KZmamnH322bJlyxb5zW9+EzExBgAAAAAAgCRPTFVXV5vpe76klLr00kslLS1N1q9fL9OmTQu4jY5uam9vN/v5nHHGGVJWVmbuz5eYiuaxv/3tb5uklE9lZaU89NBDUltbK4WFhQG3aW1tNX/+o658xfHcViBPj8eyLNcdl9PQz/Hn5j520jERHxFL9HFiuLmfnXRMxMeuvjjcKAeOtUppnteswImecfO/20SJ5hx0cz+78ZjgXEmRmNq/f78MGjSoS1t6eroUFRWZ60LdRpNJmtDyV1paGvI2oe5n1KhRAffhuy5YYuqBBx6Q+++/P6BdE1knTpwQtwWshoYGE5A1UYj4oJ/jz819rMflFMRHxBJ9nBhu7mfiozPPqaodB+WNTw5IS/tJycroJ5VnlcpFY7p+F0Dq/rtNhGjPQTf3s5PiI9zP1sTUwoULzci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      "text/plain": [
       "<Figure size 1200x400 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "problem = optimization.OptimizationProblem()\n",
    "\n",
    "# Variable Definition\n",
    "# thicknesses\n",
    "problem.add_variable(lens, \"thickness\", surface_number=9, min_val=10, max_val=20)\n",
    "\n",
    "# RMS spot size - let's minimize the spot size for each field at the primary wavelength.\n",
    "# We choose a 'uniform' distribution, so the number of rays actually means the rays\n",
    "# along one axis.\n",
    "for field in lens.fields.get_field_coords():\n",
    "    input_data = {\n",
    "        \"optic\": lens,\n",
    "        \"surface_number\": -1,\n",
    "        \"Hx\": field[0],\n",
    "        \"Hy\": field[1],\n",
    "        \"num_rays\": 16,\n",
    "        \"wavelength\": 0.633,\n",
    "        \"distribution\": \"uniform\",\n",
    "    }\n",
    "    problem.add_operand(\n",
    "        operand_type=\"rms_spot_size\",\n",
    "        target=0.0,\n",
    "        weight=10,\n",
    "        input_data=input_data,\n",
    "    )\n",
    "\n",
    "# Local optimizer\n",
    "optimizer = optimization.OptimizerGeneric(problem)\n",
    "optimizer.optimize()\n",
    "problem.info()\n",
    "\n",
    "# Final spot diagram\n",
    "spot = analysis.SpotDiagram(lens, num_rings=10, distribution=\"hexapolar\")\n",
    "spot.view()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**3. Folded Mirror System Design in Optiland - Approach 2 (less intuitive)**"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this approach, we make use of the `thickness` parameter, though now we define decenters with their corresponding parameters dx, dy (decenters in x, and y, respectively).\n",
    "<br>\n",
    "Comparing this method with the first approach, if we want to rotate the first mirror, we use the same rx parameter as before, but we set its thickness to 0, and in the next added surface, the translation happens in the y-axis (due to the downard-direction reflection at the mirror), and therefore we should locate the second mirror by passing the parameter `dy=-15`. Because the second mirror changes once again the direction of the rays (they propagate once more in the +z direction), we set the parameter `thickness=20` in this second mirror surface, to say that \"the distance (z) from this mirror to the next surface is 20 mm\". And so on..."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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eeuopdHV1YeXKlbjooovw1a9+VcUddsKuLVu2LCtWMSGEEEIaKwPd1vYjceun/1Ilp8D1wI8uPBYff/5hlUnt66e80T3uvP9Yh9et7MRX/vJQaN/pxueP78InX38OTv7lFfjHc5biL/c/teg2pI0UhhJDGJwatOaJQTXJsqRIdvYNqnVr0s30tHraI+3ojHaiMxpHZ7QHMazAYkndLOuSBU5t71RzyQrXFGzKpEY20sDEQFa2O2v5ZZUyWqWJdvZN9EGbmh63zQy3WEk7Wp1kHauteUsPUpIy2l62MuB1Qws1IWaYSMlAvLEEJiQhydA48L8/VfVFmlpRjdSUIH788cdxxhlnuOuO7+8FF1yAG264Af/0T/+kYhX/3d/9nRoU94Y3vAG33347YxATQgghDZqBbmTJsRhJTg+34IpGD5LEQrLLCUrgjfchEoygNdyK3RO7sWNshyVq84hcmQ+7IncQY6npgXlDgZArXtW8qQv7d7zGXs6I20533oGQpGF2rk1PY3jXFnRG0ghIymbJSte/IZOVTgSuErp9dlrnQRVCzYsZjHoEbA/M+GqYy49zUz07GescgYtIi5uVr388aU1j9nwwif5Xk+gbT2BgbBf6xreqjHwyGZ7ThqDjb+3RgJKMpMVKdFdV1JQgPv30013fmnzIzX3llVeqiRBCCCGNLYbPf8c78cPnEtAGJqcNLksbOsZSo3hy7xPKSitCdrR5A3YmhvB/H/oFhlt1DA7ch6HfnKPE7fef/Z6avLSEWpSV1hK5nVjZtgpH9xztClqvyJV5S7g1W4iLppkahjaxz0633A/0PWdljBvPWG7dfZP9aDazQ4mZIphdMdsDs305zKVHW8u2qJV9GYFrxTAWPSUxifsccTtmz/sStvAdQJ9k7xtPqjJSNpeO5hC6W6LoabVSTe/f26LmPa1RdLdErEn2xcIIa29S1x4OV0OsjhoXxIQQQgghhcTwzbfchJdf3Kxi9HYd3407J+/A+tTLGIkO4aN3fR9D43swtHI5hu/9qJvK4qFdD6m5+NGKn62BGPZNLkdXsBkrdB3ta96G21/5I3qbF+GjR3zMFbkd0Q5ExdrqRQSuJKVwXBBE1O7daolZtb4vs+xYdMWtwVuFFnSttMqSK2K29zC1zYh1Y8xoRsuildBaF1llou2uc3JaNzA4kcoWuPsS6H9FlsfQPzaAPtuCK/uS6WxxHZJ+8wjZFfFmvHZFh1oXkWuJXWt/PBZBJFT9AyuLhYKYEEIIIXVhGRYx7KRjHugbRHy0E2NmFIbWgqUtq3FYdBF6Xl2PtpM+i1/uWYeOSDu+ePylyqIrvrr/ce8W3PjYdvzn356O0P9+Adq2dUgd8kFs6XseE8lhnDw2DOzdnGW9VQLXK3R1y+XCQXyYLYHbnbHadh8AQy2L/63th+v44zZ3qogYDlMpXVloRcTuG53C9r1DmHw5hAElfLfawjehygxNptyoFA6xSDDLWnv40jZ0t2asuj329u6WqEqsIaHpGhEKYkIIIYTUhZuEiOH24zrwyzNuRnPIclr9x189i13jU7jqpOPVoLrIAz9Asv0w3L33cbSmEtj/lUcsl4WJfrx961a8Lrkd4eu/Cm3wZZV+OPovq9HbHcfT0SjCT96u6jSb4zCbncFkvcCylTC8frmu0O0BmuNAIBMPV1wVRqZsV4Ux2z1hl2PR3Y3+8W3udikzkcxOEiZytTMWdgWuCNkDF7faVtyMyO2yLbmxCKVeMbCXCCGEEFK7Yvg3t2L9hg3KsvmnnnX4ZNOxaH3iR24EhY+9ugXRZD8i/zEFjO1Rx0V++T4EF/dCM02En7wNZrQdZksPusx2vGyGkOg5GJFYNwJb1iL1tmvROfhn9O19GInP3A00dwHBbD/YlG64g8mU0B2yBpuJH27/+K6M+4JdJqVnm3HDQc1jxY1idXcLjl0V94hey2Uh3hwCkuPo7e6qiTjQtQQFMSGEEEJqVAzfgvUbNqp0zG82/4BfxhLoefx6BPVgxgUBEbwaWoX9Dz0U0JMIPfo9pN7yTRj99yEdaUfiwv8HhCxf4Oe3DODjP3oc/3vKKVi+6060vnw3nooejz0YxUDyTlz72CgGJgayfXRtV4VcWqJB9LREXUF71H4d2QK3JaqsuGLNbWsK5Y16ke+aBwenx/4l84eCmBBCCCG16SZhi+F3HtmC9MFfAJ64Eq1/8zskFx3jlr3upmewbyyBk954HMa2PoHeR7+HZ3AQ9iUfhjml41/v3eZab3cMWtEo3vbvD+FoYxtuigJf/OlabG0dQvN+On76+Eb0NMeVqF3UFsWh4o9rW3W9YlemJskmR2oGCmJCCCGE1GhoNQ3v1n8Pc/V3cd/woNr/x+eT+M2TG13r7TM7htXAtCOuvAuHmC/jtihw2e9ewMv7jUFDGHtHdrnREw5Y1IqNe8bw9qOX4c2LYsC9wHXvXImXOw/H5x/6KX72d4diTcf+le4C4gMUxIQQQgipCWRA2k2/vhVbXtoAw9SwJ6HhkNBmnHDTVgy0v4Lm5cDPHh5EdyzlCQ8WhmGE8dFTV2P/VEiJ3GvfdzS+tvM5NIXC+JfTTnPrl7Bltz27W4UaO/2wZarsqugEzK4D1f7+qQEK4jqFgpgQQgghNYH42Uo0B93U0HLwKfhg5FngWeD7HzsTD/bfhv9+sQkPXvrWrGMu+uXTGJpI4X3Hr4C2e0CJ3GWdzQjtyc3hBoSCAZVsYnA8BTR1WDGBx/ehKxpX+wcTAwt4tWQh4RBFQgghhNQMwd798avEkfiHd5yK43p0mE0dOHxFD9LaqMoIl4vE5c03XE1TSY2nZ7+VhBMqfbPEAo51q/jCkmEuEogoCzGpTyiICSGEEFIzSFizaKwFQUkgMdFnR5IAhhJDKotcPvJGcNDyC2LxJx4QQSxiOtZjJd/QNMSbujBIQVy3UBATQgghpGaQOL4SskxQ2eEkMYYSxIMqpXIuInkLWYinpXVTFuIwBsRlQmjpUaJb6G7qwsBUf3kvhlQNFMSEEEIIqRn6xhPKiitICmWVDc62EHfkcZko6DOhxHJ+C/Gg10IsaZpFKCtBbEWyIPUHBTEhhBBCagYJpSYRJBSSctl2mRicg4V4uhwGumIRZYVWx4rYFiu0bI/SQlzPUBATQgghpGaQ+MKuhXiiH2aL5TIxODVUcFBdPgplhhOXicGJjMuE+BAL3U3dGKAPcd1CQUwIIYSQmhLEykIsSlfcGWLd0A0dI8nhwhbiPOJXs+Ma5xJviWAiqSOR0q0Be2IhNnQ1YG+AYdfqFgpiQgghhNQEKd1QMYWVhTg5Bk1PKLeGkeSI8gfOF2VCRG9+W7CSxNO2OtbnAbESx3otx4rJQWUhnkxPqonUHxTEhBBCCKkJHFeGntaoG/1BBLH4Dwt5XSasCGvTEKtxXgtxLGyfK+mGdBO3CRlUJ9Btoj6hICaEEEJITdA/llDz7taIFXJNaOlRIdeEzjwuE0IpiTlcC7EMrJOwa8JEnwq7prZzYF1dQkFMCCGEkJrxHxa6WyLQxvd5LMRDajmvD3EBE3GhKBOOhVhiEZt2jGMJvRaPOoKYodfqEQpiQgghhNRMljpHEDsuE4hJBrlBBLUg2iJt0w8SH+JCcYjzuEzEIiE0hQNWLOJoG8xAWA2sE3cMEdG0ENcnFMSEEEIIqQnEjaElGkRTOGiFXGvuAgIhKylHpAMBLVB8HGK1MX9MNjcWsRRSodf2IRgIKlHMSBP1CQUxIYQQQmrGQuykbcb4PnfQm/gQd+aJMDFTHOKC6etyYhGrbHVOcg7GIq5bKIgJIYQQUhMM5CTlgCdtc74IEzPHIc4/qM6JReykb1bnsNM3d0ksYgriuoSCmBBCCCE1Qd9Ywk3bLKHQVGrlGdI2zxSHuFDYNUFEdyZ9c7dymVDbaSGuWyiICSGEEFJzaZtVBjk7LJoMqpvZQoyio0xMc5mQczguE9E4BimI6xIKYkIIIYTUVtpmFQpNfIgtQTycHCpoIRbVmz8OseyaZVCdINnq7IgWYiHupyCuSyiICSGEEFL1iHuDiFQVck1cHSTKRKxHbVcW4gKD6hT5U9UVHHEnPsRDkynohmm5TEwOAkZaZasT8Z020mW8MlINUBATQgghpOoZmUojpZsqSx0SI9CMlHKZmEhPIGkk0RmZwWWiQJ2FLcRhpZWHJ61zKCb63Wx1TmY8Uj9QEBNCCCGkppJyZLLUdasIE0K8YNi1/Ik5ZosyIUikCcctQ6JaiIVYoNtE/UFBTAghhJCqZ2A8oebdrVF3kJv490qECaFglIkC9YkgLkQ8ZglicdFwBLGEXnMsxBxYV39QEBNCCCGktizE9iA3ZSGesgRxwSgTalCdViDsWv5zdbWE1VxFmrCTf0jotXjUsRAzfXO9QUFMCCGEkKpHrLXhoIb2phAgMYglTXNz3HWZKBx2rZDLRGEf4o6mMAKadU5EWmGGmpTLRFOoCS2hFjWIj9QXFMSEEEIIqQkLscQgFsuuJpnjmruBQFC5TIhIjQTt+MR5LcT5sCRxPgIBDZ1OLGJR055sdeKrTAtx/UFBTAghhJDaiEHsJuWQLHXdmbTNM4VcE7TSMtXlxiK2stVlYhE7fsukfqAgJoQQQkhNCGI1oM5O2+xmqVNpm/O7Szjk9SGeIcqEm755whbELb1KhKvtTV0YoIW47qAgJoQQQkjV0z9mJ+VQWeoyFmIRxIX8h12XiQIBJQrLYSt989C4lb5ZBtaJD3FGEDPKRL1RV4L48ssvt3yLPNMhhxxS6WYRQgghZJ70jyespByCiNNYr1ocTsyQttkZVIfSXSbiXgux+BBPWLGPu6IUxPVICHXG4YcfjrvuustdD4Xq7hIJIYSQxnSZcCzEE30wHAvx1CCO7nltweMKad7CUYgzsYgdH2JlIbYH1SkLcWLATvgxWy2kVqg7tSgCeMmSJZVuBiGEEELKxFRKx3hCtyzEpqEsxKbHh3hGlwllDS4tyoQTi1iiTIjwFR9iLTEC6Ek1qC5tpDGaGkV7pL0cl0eqgLoTxC+99BKWLVuGpqYmnHTSSbj66quxcuXKguUTiYSaHEZGRtTcMAw1kZmRPpIvC/bVwsO+ryzs/8rBvm+8vt83OqXmXc1hGBMD0EwdRnM3kukkxlJj6Ix0FmyTcoswrbZrhiWADWc+w7XEm8NIpA2MTaXQJiHepPzYPnUuoX+iD62hViwkvPdLo5R+qitBfOKJJ+KGG27AwQcfjF27duGKK67Aqaeeiueeew5tbW15jxHBLOVyGRoagq7rC9Dq2sY0DYyOjqmnbE2CpJMFg31fWdj/lYN933h9/8rucTUPG1MY3bULzQBG9Sh27X1FbQ+lQhgczB8KLZVOI5lMqv3hkRE0ybEjI0gmkkin0wWPC+mWseyVXX1YlQ5DPJZHd29BqNkSwVv3bUW73oGFhPd+aYyOjjamID7nnHPc5aOOOkoJ5FWrVuGXv/wlPvKRj+Q95tJLL8XFF1+cZSFesWIFOjs70d7OVyHFPX1pqr8CAX44FxL2fWVh/1cO9n3j9X1yb1rNVy/tQcfgNrXcungNzKBl6d2vewXi8fwD64LBEJqiEbVfS1i/623t7WgaaUIwGCh43MopSyIZ4Wa0xfdXyx2hBFYvOkItpyKpgsf6Be/90ggGg40piHORG+aggw7Cpk2bCpaJRqNqykVuNN5sxSGDCthflYF9X1nY/5WDfd9YfT8gGeMA9LRGEdhphT/TWnsxMvySWu5u7irYHvEU1uz2apKP2c5EJ5PI6ULH9bRZ2mBoMg1tiRXRIjA5gI5oB0KBkPJdrsT9x3u/eErpo7ruzbGxMWzevBlLly6tdFMIIYQQMo8YxJJKORQMWFnqAiGgqcPNGDfroDqUPqhOokwIKn1zOAYz3KKiW4ggldBrgwmGXqsn6koQX3LJJbjvvvvwyiuv4KGHHsI73vEOZS5/3/veV+mmEUIIIaQMaZtVlrrmLjH7qrTNYq1tCRce3GaFRyuwbwZBHAkF0BINZoVegyf0Wj9jEdcVdeUy8eqrryrx29/fj97eXrzhDW/Aww8/rJYJIYQQUruCWFIpC5IxTqVSdtM2x2eMB2yWkM55pljEEuZNiXFmq6tL6koQ33jjjZVuAiGEEEJ8cJkQ/2GFWGklc5z4984Sg9hN3TyHTHVCV8yKRZzJVucI4m5sG7UG95H6oK5cJgghhBBSp2mbPS4Tpp2lbmiWtM2ZxBxaXgvxzHJYknNk0jeLCBfrtCDnHJiylkl9QEFMCCGEkOpP2yxZ6gQRxI7LxNQgOmaxEBfK3WwNqTNndZkY9LpM2D7E3U3d6tykfqAgJoQQQkjVktYN5bbgWoiVy4RlIR4s2kKcZ4dsnMVlIm6nb1bIOW2XiXhTHOPpcUylrQx6pPahICaEEEJI1TI0mVK6VVmIDR2YHLD8eR2XiabZk2Pk1cPKZWI2H2LPoLpYL7TkGJCaVBZigaHX6gcKYkIIIYRULX1jliBVYdcmByzP31iPGhAngrioQXUFfYhnsxBHMDKVRko3XL9lTPQj3tSlFhl6rX6gICaEEEJI1eJYaLtaI+6gNvHnHU2NQjfTxblMFNo3y6g6iTIhDInbREuPO6iv2xbEgxTEdQMFMSGEEEKq3kKsfIjH96llcZkQ67DQOZsgLjSobobYxbnZ6iTShLhMqOMm+lyrNC3E9QMFMSGEEEKq2kIciwQRi4RcC7G4TDhRHmZ1mSgwqK6YKBNOMpDB8ZQ7kE9cJkKBMDoinbQQ1xEUxIQQQgipWvrGMjGIVci1YASItrkW4tlcJkTz5s9KZ0nimehqsVwmVCziUBRmtA2abaXuamIs4nqCgpgQQggh1R2D2A25ts+y1GqaStssdEQ7ZjxeWYG1uWWqa42GEA5qbixilSHPtlJLtroBuw2k9qEgJoQQQkhVp212knKIy0Qm5Nog2iPtCAVCc0vdXESUCRHNnZKcw5O+WXyIBVqI6wsKYkIIIYRULX0eC7FKjOGJQTzbgDqH/D7Es6dudiJNZGIRd7sD+5SFmNnq6gYKYkIIIYRULSJGu1ujalmssxJyTZBBdbMNqMuEXcsTh1i5EJtFRZpQPsSCpG+2XSbi0S5aiOuImd8zEN/ZPjiBfaNJBDQgoGnqAxoMaO6yzK3JWQYC9n5Z1rL2eZYDmW2qTnteTJgZQgghpBoQH9+sQXXjfTCXHqMWxYd41gF1bmKOubdBIk14s9UFbJcJiUUsVmrd0BEMBOd+AlIVUBBXmJ8+vB03rNu6YOfLiGzkiGoNwUBhge0cJ2I9tw7D0BEOhdz9Mwl1R/Bn7beP8Yr37AeC6Q8BVpnMeabVWUzbp9WZ6YvZHizcc7j7c9rlqTu7LVY/Z7Ur51qtMjnXp03vM0IIqXfGEpIlzsz4EE/2Z7lMHBQ/aNY6CvsJz+5D7ESa2LRvzFoRlwnPoDo5XtrR3WyHZCM1CwVxhfnYqavx7mOXwzBNGCay5qZhQneWne2Gt5xsB3R77mwzjOx6nGW3DlXGcx6pQ61n6smu0zlvdj1SRtcNTCUSCEcidnlPnZ425qtHzpk0jOz9Oe212pXTdnO2tjvlvfXk9GNOHbWIEsx24CDL+m+9FrTmzvps2zNvDQJzOK607dPri4TDiMWacx4evA8GmQeJ3IeL7Aes/G9TZnzYC8zvIUyuYWJ8DO39BoLBQN56ch/Cin3Y6duzC7u2vYw3nXEG3+qQhiYrKYeegjY56LpMyKC6zkgRLhOFBtVpxQniuHdQnbhMpCaA5LgaVCeI2wQFce1DQVxhFj/171j29P+gVpGvErEQBwLBgqkxy46jAsvE9K/D6SI5a1VE9vQjsjZO25+3Pntj9ix72d03vQLdMJBMJmcMG2TOtHHazkynzuUZwZzpHrHrN+x1U7PnsjUYVOpY16xyThlDk4eqzLJhH29Ib8jx0gf2Mc45ZF0ty3FyvHNOzcyU8ZR36nXXAaQ8dWbOnVm2ymqeZXt/TjnvtVpl7PN4j/Msu8cbEXQN/SUCZgTjE4N427nvpCgmDR1yTegRC7FYhwU7QYa4THTaonRWCg2qK8aHuCWMIclUJwYU2zotVmKxEAsMvVYfUBBXGHPJUdDTCdQqIjOmJifR1Nycd9CCssg6IgYmdFtseteVeJG5OznH2eWVwLHKO3WpSW0TgePss62+9rKZs24JFNtynLPunifvcfZ53DbY7bDrMQutu+fKuT4zf3+451HbctY9dTllRQxPJqYQCIWUi4Yj4KzS+Za964W2l36MJXattgnSNmuLJfJqHXnUk8sIWPZtNRJZWYHln2lbgu0y1n5rUpbhPMequfJpzK5Dze3yU+Z6LB86Ci88uxHNkTtx1pvfTFFMGjbkmuPHq431u368U+kpTKYnES9mUF2BxBzFRpkQC7G4bYxOpdFhC2IZ3Ne16FC1zIF19QEFcYW5P9aMp+Nt9it8w5pEUkxbl2XZptvCaJYySlTZ+9wyZtFldNOub9p6znnVPh0Yw7QyanuNEtAsWROUuRawXmXLP7Us2+z1gPp/powWtMVQ7jHBwmXsdateVZuyuDtlwvY5rfNY5WQaGRrG5O7diLd1I9bcYrsiyFGC9ere3aLaok3frs5hCzN32XZtyLsvfx2558raq/rSXve0cWRkBC9tfAnHvu44rFy5KtMXdr/JcW7/230x/e9hlc/Xb1afaTllcv6Gnr51yqhz2OVmEqGGYWBwcBDxeFzdB+Xk5lt/iBuDt+G4/uPwxBOPq20UxaRRLcShgIaOpjCwp88NfeZkqSsm7Jo8uucNu6a2FeFDHLPTN0+k0G5bpyVBSHPodWgONWOA6ZvrAgriCrNhYAPu2HqH++OcK8LUesD5gc7+Ac8q4z1GiaiQZYnKK8IsO5SMip2pzHQRZpXxtkW+SxJTCbTEWlR9rthwy3gFjlOPLVDylpkugkoTSvlFkOUDGsy0YRahVAs89+yzuHfTWhz9mqOxeMkS1Bp703swNT6FEztPxOErj6h0c6oLzcQrba/gPav/Epuf2E1RTBqW/rEE4i0R5VvvJMSQ0GdDY6+qxWKiTAj5PzXFuUy46ZvHk1jVafsKOwPrVOg1CuJ6gIK4wnz0iI+qqVbx00pGSKOzdE0cBy0+Fn/8w20UxaRhLcQ9btrmPpihZiDcogbUCUXFIbZdlOaSqc5xmRBULOJgJ8ymTk+2OgrieoEKhhBCqgxNHIptN5Ojjz4a5/zFuWpdRPFdd95ZlFWLkHoRxE7INWWVFZcFTVMD6oR4EYPqrMQcc6czZlmIM+mbJfSaJYjjIogTFMT1AAUxIYRUGRIVQxBXIIGimDTyoDonKYc2sc8Tcm0I0WCT8uGdjUKflWLDroWDAXQ0h9zkHIj1Kmu1k5xjkBbiuoCCmBBCqhTva16KYtKIZFuI+9ywZyrkWhHuEg55B9UpH+LijrdiETvZ6roz6ZubutBPQVwXUBATQki1YVuInZghDhTFpCEFsWshzmSpG5yStM3FCeLCHxH5fJnFC+LxlDuoDxP71KLEIhYLMT+HtQ8FMSGEVBmONUsioORCUUwahURKV7F/e1qj1obxfZb/ru0yUWyECeVDnG9QnUrwU6Qgbgm7LhNipXZcJrqicSSNJMZTdmpnUrNQEBNCSJXh+DU6PsS5UBSTRmDAHsQmSTlcC7E3bXPRFmIzf+rmIqNMqDZkuUyIhbhfmZ6Zra5+oCAmhJCqjTJReGw8RTGpd/rGEpm0zekEtMSIylJXatpmy0I8T0HcEnEFuohyTU8AyTEVdk1gtrrah4KYEEKqDCf9tTZL7muKYtIIaZuVD/GkPXDN4zJR0qC6QlEmih5U53WZcJJz9HkEMQfW1ToUxIQQUmUEHKtVEQk4KIpJPQ+ocwa0SapkQcKu6YaO4cRw8T7EBRJzlIJYiCeSuvJrlrBrgvgRt0faVRZUCuLah4KYEEKqDMMZVFfkVzRFMalXC7HE/42EAm4iDPHfHUmOKFeHUgbVzT/KRCY5h2Mhlmx1AS2gkoP002Wi5qEgJoSQKmMutiyKYlKfIdesCBNOqmRxmSglbbOiUGIOzwDW2YjbA/vUwLpYF9QwPSd9c1SSc3BQXa1DQUwIIVWGqRlzksYUxaSe6BtPZGIQj/fBDLcA4VhJaZtnHFSnfIiLjzIhDEgs4kAIaI5nQq+p5By0ENc6FMSEEFJtaMUNqssHRTGpFwbGvFnqvCHXhtS8sxQf4jwPl6VFmbBcJgayQq/1udnqBhP0Ia51KIgJIaRKMecgiAWKYlIP9GVlqctO2yy+uzKgrRhE9BYOu1YczeEgoqGAG4tYhV6zBXF3UzcH1dUBFMSEEFJtuHGI5/4VTVFMah0Jc5axEPe5g9kGp4bQEelQorh4C3EerFR1RdUh7hUqFrGdvlllqxOrtViIo3EK4jqgLgXxtddei9WrV6OpqQknnngiHn300Uo3iRBCiqZcspWimNQqumFagtjjQ4wWK9zZcGKw6AgTDvktxMUPqsuNRQyxVo9nLMRjqTEkJFkHqVlCqDN+8Ytf4OKLL8b3v/99JYa/853v4Oyzz8bGjRuxaNEiVBtPbx/CS/vGEdCAgKapD21Q09xlmQcDmWWnnLOsOdsCmW1qrtaz63TL5jlG9gXd+rz7M+fL1DP/mI6EkMI4L3LnYyH2imLhj3+4TYli4aw3v5mfYVLVDE+mYJiSpS4TZcJwLMQlJuVQg+rmFLtl+sC6IdeHuBsBjw+xatfUIJa0LJn3eUhlqDtB/O1vfxsf+9jH8KEPfUitizC+7bbbcP311+OLX/wiqo0/PLcHN6zbilrDK9Dla8YS7ZZ49wr1aUI8j1D3iv9sEe4I9ZwHglwhP+9zZj9kZD9sSP2eBw+nnH2M+9AyWxtzHmCc/sp9wHHbGJj9oWjXWBrDehj7Jk1oY2n1hxD55OgcKWPNnXXrbyXnteb2lLsta07RVAlM22VChXYqAxTFpFbTNjsWYjWAzeNDXGzaZkUBI3Apg+qc0Gu7h6esKsVaLW0yTXR7stVRENcudSWIk8kknnjiCVx66aXutkAggLPOOgvr1q1DNfLFtx6EL5x9EAzTVE/D1txallebumFtM7P2Z8rJ2095teSUz95vz+39WfV4tnnLmvZc6nSW87VL5lJG1w2MT0ygqbnZLp+pR/e00cg6r+f68tSZfa3T25bddiCVNrLbnnNOqx9zzpPbp3Y/Z9eT06c5/ZjZn2nfwvMa4E9isdjh2xkKCWXNEdu2EJed1twqE5hBmAumYWBq6gj87x/3oOme4YJvLawHA++DxPS3Fqq8fexMbzqmvSWZ4wOO2gZgamoSLbFRBIOBWR9q8r3dKfQwt88WAy/vm4AeGSrpjVFunc7+NQcdhjNSOtbeebsSxbpp4Oy3nE1RTKo6S53yIU5NQkuOu4PqJMrE8tblRdelRO88w645LhMv7BqxVmLd0Iw0MDWMribLcj3ASBM1TV0J4r6+Pui6jsWLF2dtl/UNGzbkPSaRSKjJYWTEutkNw1CT76QmoPVvQlCsrH7Ur/lVcUbUjI6Noq21DZqoigXF+Yarjh900xHT8vXrEeKCJZozAlu2Og88UlhmXsHurUuEuPOwIcc5wn3Hjh3YuPFFLF++HG3tHepL3/luV/U7bfLEpXfEvjqP1C175QFBHSvrhmfd+iGR8oJsky3yMGFdkyptlVH1WNeharGPdc5vXXOmLik/lZjCwMAAensWIdbaAt3U7b6z6tPlM2gfI1tEwGXq8Sw75XQTaVPVANPMPtZqj7VN1W6fw2mTfQXWcRIDWPW9U8L+Z59P/dOsOnL/2VdtW3jtdc+y3KpOOWvgnH1cVnkgHBgDIsC3NlwJfYN8TVtlMmWRp+5MG5wy6i+iPh6Zbau7V+PY/mPx1JNPKqF85pln1Zwolr+5+hsuxHc0qUjf941av8vx5hDMsd3WuZu71HnFNaEz0ll0G9TXjt1mzflOtr9Qne+QYgXx4HjSKt9siWBzfB86Olaq5X5x6/C5X3jvl0Yp/VRXgnguXH311bjiiiumbR8aGlLi2m/C+55H76/fiWpDiRh7kmVdnqSdbepHXYNur8tv6Qg0d591jAZdlZN1a5/80Ov2Pm9Ztd8uq/ZrWuFzq+M8+zWrHaZbn3efZ93TLplbbZveDrNAu6ad126Xs5yvXZn2ZurWZ2lXvrboM7VrqXzgNWDI+btkT9Km3HXf8FZdzGkkrGervZwuot4Smx4wTWXFDZhizbWcD7zrAed50czeF7T3ybL1PGnvV8fZx9r7vOtOfd51tc001TOps+xsV2Xsc8t+zdOu3cEg7ovE8BeJXWiTY3La7LSzlHbJdVrL/Xi0NYHI2Ml48oknkJhK4KSTT64pUSwPLqOjY9Ynp8hIA6S2+n77viFEQxoS4yMw+15Gk/gV61GkBgZUzN+oHsXgYHHZ4UT8ytscKR8eGVF1jY6MYHJyUonLYuuJIoWhyRT6BwYQSUcgo5LGdr+MpNaF1lAbdgztKLquucJ7vzRGR0cbUxD39PQgGAxiz549WdtlfcmS/H494l4hg/C8FuIVK1ags7MT7e3FxTicD7/v34P7jz8/Y7FTli/bjmVb7HKtYmqbx5KWsZZ59nsscpYlL2cbco6xLWpey1ktEhCvMC2AoD2XdfW6GfIaPGC9Rpat8mrZnlvH2PtVeWdulbXmTr0zH5NZl/o1hOQYdX6rntwysj3Trkxbpb7AjMdoGBwYxM4dO9Db04uWlhZbCFk+DM7/LdcGz7q7zbPu7C+2rFb4WOv8KKqsfNZe2vgijj3mWKxYudK+/jzXndX/2X9Xq7x3m7Puv7jz8+3ILU/8D+4buxt/dcxXcNB+R6DcPPmn6/DcwOM4cuB4PP/8c4g2RWvKUmxZfTT1PS1ucaT++n7S6FcD6rq6uhAYtEKdtS1eg4nmJqSMFJbGlyEeL9KPWANizTFVXktYv+tt7e2IaTG1XGw9y3tkoN82BJpa0bZkjVVPMAkjHkd3cxcmtcni2zRHeO+XhmjChhTEkUgExx57LO6++26cf/757s0j65/+9KfzHhONRtWUi9xoC3GzpQMBJMPNto9gACElBpzJK5isbUokBJQsmLmMFrR9CB3fRjnGWZ5eRokNtT1TxhEnbhk5TyC7jOjmifFJtLe1qXbJeVyBYp/XEZZZ29wynskRPc61eM49WxnnWhqJ5559Fve+vBZH9xyNxQUe+KqZvYE92JASF6fTcOCB5Rd9CyGI02INkh/ZMn9XJF+4ExgD0p0HQ1v2WpSbyaZu7GxZhy8c+hH84U/PKEuxfCfU0kA79d2wQN/TZOH7fmAipQbUqfNMWvF+A629GJ7KpEsu9vxi3lHjAOT3yx7EYI0LkPcoZtH1OBEvhiZ1dPd0w9TstgUCKvTakCQMWYD7kfd+8ZTSR3UliAWx9l5wwQU47rjjcMIJJ6iwa+Pj427UiWrjnQe8S021ivLnGhxUT8X8cBJS5igTvolTcZ8wcfRBK2B2rGD0CVJ19I8l0O2GXNsHM9oGhKJu2uZ4KVEmCnhcqUF1JUWZsNI3ix8xeluUH7GbnKOpC/1MzlHT1J0gfs973oN9+/bhsssuw+7du/Ha174Wt99++7SBdoQQUq24P9JzTN1czBnk8VVcpI4+2rJAUxSTakvbfPDiNmtloj8rbbNQUhxi8a0vw/0cj1kh4Jz0zWZLjxV6zbZYbxutvRCqpI4FsSDuEYVcJAghpFbwTw5bA/JkoL0IY8YpJtWGZITrafVkqXNCrk2VLogLoeIQlzBcpqM5rEIZijuHG3ptfJ8riJm+uQEEsXfQWbF86UtfUs7whBBCSqW8iTny1S9RJ7xigKKYVAvy5qJvLIkuT1IOZY21YxDHQjFEg9GS6suPlby5WCTGt4hiJ32zWK0dlwkRxGK91g1djachdSqIxQ/3pJNOUoPWiuHBBx9UFloKYkIIKR0rKrKEYvPHL19iySgpkKMFKIpJNTCe1JFIGxkLsQjixUeqZRGd8Whp/sMqdXPexBwe96QiEZGecZnohda30doe7VLRmkaSIyX7N5Mac5m45ZZbsGiRRN2bnbY22++HEEJI6TiD6vyKfmhn2nOEtxeKYlJp+scswelYiMUKa8w1bbPrQ1zIZaJEQRyLYGDc4zLhWoitRB39U/0UxDVKUeaHH/3oR+jo6Ci60uuuu46D2AghpIpdJiRph8rWlQcRxef8xblqWUTxXXfeWbJwIGS+aZudMGfw+hAnhkr2H1YW4jyfJSWIS7QQS6QJ10IsbRJBbBroskXwIP2I61sQSxizfLF6C/H+979fJQoghBAy97BrfrlMiGVYRWCdQQtQFJNKhlwTJA4xkuPQ0pMwWywL7NBcXCYkI2RelwltTpEmVNg1QXyITR2YHPJYiCmIa5V5fduOjY2pbFPeiRBCyDxxhadPFmItE3ZtJiiKSaUsxBLNobM57IY1M2O9aj44JYK49AgT2gxbS7mnxY3DiTLhDPQTH2dnoJ+klSYNIoi3bNmCc889V1mAxY1CEjLIJGkE/U5ZSAghjYDj22v6FIfYdFwmiihLUUwWGifChGSTUyHXhJhjIR5CR4kWYkWZPkrxWMZlwmkTxvcpa7MVes3yKSYNEIf4Ax/4gPoyvP7665WfMAdaEEJImbG/Vv2TnU4c4uLOwIF2ZCGRsGbKXcK2vjrW2LSRwmhqtGQLcaHbXMuKy13cvSxCfSplYCKZRsy2WsvAOjlFPCqC2IqTTBpAED/99NN44okncPDBB/vTIkIIaXBMJ05wgUFv5ah/Nh/iXCiKyUJmqXMH1NmCWNIkDyWG1WLnXMKu5RtUZ9+76o2HVryFWJBIE7HODpiBkNvGblqIG8tl4vjjj8f27dv9aQ0hhBCPBde/+gNzqJ/uE2QhGPAk5VDW16ZOIBhWA+qEuKyXY1Cd40NcwrsYp13KbUIqVaHXLEEcF0Fst5E0gIX4Bz/4AT7xiU9gx44dOOKIIxAOW09LDkcddVQ520cIIQ2HigJhljbYp7T6jTnXT0sx8Zu+8QSOWN5urYzvs8Kb2QPqhDkl5sizPWM1LkEQxyxBnMlW1+v6OYuF+LE9j5bUNlLDgnjfvn3YvHkzPvShD7nb5IvQegLToOt6udtICCENhePS4J+F2Ho9ONfqKYqJn4jY9FqI3RjEyaG5uUyoxBwFUtWVmADHcZkYtCNNqIF1dnIOx4fY0UOkzgXxhz/8YRxzzDH4+c9/zkF1hBDip8uEb8PqpH4T+jwUN0Ux8YNk2sDwZDo7bXNLxkIcCoTQGm4tud78FmKU7DIRDQcRiwTdWMTSNm10l1qWWMQJfQoT6Qm0hJmLoe4F8datW/Hb3/4WBxxwgD8tIoSQBkcNqisxPmrJ9UvV86yfopiUGyekmRNlQlwmsOx1mbTN0c453V/l8iGeFotYknPsftba7slWR0HcAIL4TW96k4o0QUFcHu7ZsBePbx1SQcgDmqY+tMGA5i7LPOhZVuXs/bKs2XM5xlm29mkz1plbTo4NBpz6pp/HrUfNPdtgYmQkganAFELBQE67vHXmbxd/OAmZjliGJVmdXy4TJoyyDdqjKCbljkEsdNtRJsRlwvCmbY6UPqCu3GTHIu6x3DpsC7GTrW6/thVlPy+pMkH8tre9DZ/73Ofw7LPP4sgjj5w2qO7tb397OdtX97y0dwx3b9ir4oHKj5NhmO6yfJB1z7LM5RWnsyzl5LMuZWp1oLdXHFsCOlu0K6E+B/FfysNBUOrOEf+5DwpWee/+TLnMOaefL1NHzjU49QWKbeP0h6LtO6fwSqIFgT4dO4xJtz+VDJEy8j91TKav5RFGPYjYFhNrbtlJZtyetS9TR6Zua8FZV221F6x5dllZTKt73T8raG3j+BD7ZSG2/j7lcsmgKCblos+btlnuf+Uy0ZtJ22xbYYtlpo9QVti1EpCBde6gOnHnmBwADB3dtiBm6LUGEcQSYUK48sorp+3joLrS+fgxzfjEwaWnocxFPtDymZZXP5ZYxjThbM3tZXjLZItuZ5tVH1yhrrY7wfxFrBsi0A2Mj0+gORZTZd3zICPuvfVMP589cMhus24aqhKn3bJdd4SBXSb7eqy5c071gGBk90XWOT1l1HkMSxRIvFenrHvNOeeRB4+Ucz2qXU6/Zx5mrGM9/Wz3tdunzvncdlt1OX3rHFcKm57eDECmWqQXj978MHDzw1lvICzx73lYskW4ylxli2ynjPM2whHxzlsJp5xVZvpDjfOGQj0Q2ceqsvIwAmtZCXr7wcV5AHDqUaI+lUQ0EkUw6H1IyH44ch4ipF3Wg4HT/syDEDwPflJmV99OVWbrhqeQGB2wrLmaYT9U2B8YzYRm5V9Wxyirr328utHExCx3m9126xNhQsJLDI3vRkrT8OSW+7BhfJv9tzBgJcaz8teZ6ni5R9WdaddnRahw2iDl7W8F1YzlR8Sw47kJJYonEkN4+1++m6KYlIQjNJUgTo5B05NuRjiVtrlUQWzP892Hc4kyIcRbwtjabxkhVNg1OX5yAO3NXQhoAQwwfXNjCGJDFAQpG8FHrkXo0e9XuhlkoXGEywxYcsaeNJmrr10lxGVdhkU5++HZ705qm7Nu7bOOy2xz99vbrU+3vT2rrF2/Z1vmWLtu77ntss63hbPPsH+U3HX7+ELXadVh73evx1rXvX1gt0v3XKdVp+bus8plzuWUT3sf2OSh3iixXXp2u7zndtoya7vsdaddKWjQAwF8B9+FsdMnQRmN4PKhXwDWwP2ysbp7NY7tPxbrn9uEro4HcOppp5X3BKTuXSbamkKIhALAyD61zfS4TKzp2L+k+hzrb/5PkfOoiJItxE9tH3bDrqmaxvsQbOlVIeEGpiiIG0IQk/Kin/D3MA5/V9nqsyyNllXHspBay5ZVUvYZ1jZ7Pr2MNXfWnTJiuXWO954jLRbiiTE0Ncdgat593nMYeerxnmNh2popY9huJplz6Tllc9uaXcbI09Z87Sp8PVnHuOfIvp5GxbIGB2wrrTNXjhoIagHb8mvNg/bcKeOUzz0+U8b2c886zlvG8YO3tonVNuIpK/UqK7blkAI9lUYkEkUot12y7rQJBdplX5PTHm+7HtrxIJ4Z24rzOt6KVUuWqB9up7yya5n2sn0eZcC1arM6UQzBsiwPIGIitvc7///p1pugTWzGu7r+Bs29tsBQt5x1XaL4TTmHKH/Ns2yfSz3w2NvUXDY7T0u9Gn5lXI9VwwfhkMOPqOCdRGo/bbPteuDEIU4MzSkGsapLK5/LRLwl4voQm7b12slWR0HcYIL4sccew9q1a7F3795pFuNvf/vb5WpbQ3DDq3fiti2/8wg1EUuGR5Tp9ut2R4QpWVawTKmjZasFEQiaK0aC2aJFiQclGSxBkbeMd11ES6Zs/noDCAZkriRV1jFhV8zY5/WImUy9VpmgFsy0EZlzWMLHEUeZMnJ2b9ssIWTXV1SZzLUM9PXj0UcfQWIykfX6zyuQsrZb78Nn3V5K2YLnKqEN73//B7BivxXuNdYK8t03ODiIeDyOgPhUlJGBsX3YNLoFr130Hpxx/DEoN7/ruw/G2CYcvf8ZWHXESWWv/z/3fg3d5itob5/uWkfIbGmbM4LYthC39KjfODWoLlrqoLryhl1zBtVJaLiUbiBs+zer8HD2wDoK4gYRxF//+tfxpS99CQcffPC0OMT0FSud1e2rcNLSk12BlSXCXDFnC7k8IixjcZqhDGzx57F+5YquaSIsjwjNLmNtky+bsZExdHZ0IhSUNgSnC1mvdSyr3kwZUjrGcgNHNh+FdCpVs5+9js5O7LfffpVuRtUhzw3lHPQ2rX570J68KfGnfmm/7mtiEVK/aZudGMQYF5GpAc1dGEuNQTfTJfsQYyYfYm3uYdeE4ckUelpaYQYjqq1qX1MX9k7smVMbSY0J4u9+97u4/vrrceGFF/rTogbj9P3OUFOtoqxk6UHEW8tvJSOz09vb64uFklQWsYZJnGC/okyoKBY+RvgQgWGFdaMiJqVbiFd0dWRcJpq7gEBQxSAWSnWZmAn3rdgcokw47h09Eh5OhV7LCOL1A+vL1kaycJT8Kyo/vKeccoo/rSGEEKL8zGUYnl960rIQzzsvR0EMJ9gF9TApkX5HZAqeLHUSck0o3WXCHlSX9yXa3N6sSZQJb/pmla3OI4gHGWWiMQSxxCC+9tpr/WkNIYQQOw6xfxZWw+f6HcHtl0sGqU8kdKVYXR2XBCUy3ZBrVjiUzjkOqptvmUIWYnfQn5ucowsjyRGkdEsskzp2mbjkkktw7rnn4jWveQ0OO+ywaYk5fv3rX5ezfYQQ0nAoQeljpjoV6M2JAe5H7RKcwleXD1KPDE+lVIx4x4dYQpk5Yc0cl4nOqOVOUfqguvL5EEtYuFBAw4AbaaIH2pAVz7sr2uW2d1FsUUn1khqzEH/mM59RESYOOuggdHd3o6OjI2sihBAyf5cDZcH1SbH67TLhd/2kPul30jbbFmJldbUtxBJhoi3chlAg2wg3G47YzRt2zSlT4o0qQlqlbx63XSakja7LBLPVNYyF+Mc//jF+9atfKSsxIYQQf3yIJQqEX4PexHIb9NUlwxIbtBCTUv2HhW7HQjyxD4bHh3guESZmDrs2NwtxbixitPR6fIitNjL0WgNYiLu6upS7BCGEEH8QIakEpU/1qygQc0gTXj0uH6SeLcQ9LVFLyU70u1nqJG1zqQPqik3MUboXsRWLeMBjIdbEx1lPId5kuUxQEDeAIL788svxla98BRMTE/60iBBCGhxzAcKiWS4NPluIqYhJiRZiSdncEg0CU8PQjLSbpW4oKUk55hBybQYfYjd18xxu0y6vhdhuIyb7EQ1G0RJuxQAjTdS/y8Q111yDzZs3q6Qcq1evnjao7sknnyxn+wghpCEtxFYUCPgbJ9jXxB8aXSZISfSNJdDTElGWW2+WOsdCfGDngSXX6bpDaOV1mZBIEy/vG7fb2JsZBNi6BN1NXbQQN4IgPv/88/1pCSGEkKxMcn4OqrN8iOGfhZguE6REvCHXnDBmjvV1eA5pm73ktQ/PI8Gncplw4hDbA/+cNsejFMQNIYjFXYIQQoh/6KZhu0z4U7+h6vdv0J5jgfarflK/Weq8IdcE14dYBtXNwWWimFtwLvepCPehiaQ6VrPbKFZt045FzCgTtQfzvRJCSJWRSX3sb/1+ZqpjYg4yl0F1GQtxH0wtCDR3IqEnMJGeQOdcokzY8/xh1+YXZSKlmxhLpIFIC8xQM7TxTHIOWojrVBBLZIm+PutprRhWrlyJrVu3zqddhBDSsGR8iP3OJOdL9YwyQeadttnNUqcFVAxiYU5RJmZKzJGJRDwnlwlv+maIr7MnfTMH1dWpy8TQ0BD++Mc/Fp14o7+/H7quz7dthBDSkFiplSWTnF9RIByXDH+jTNBlgpRC/1jCTcphZalz0jZbWerm5DIxQ2IOZ+Nco0w4fs8ru2JW6DV7IKAIYmmzck3S+CK+7nyIL7jgAn9bQgghxOPjOxe7VXGIULUSf/gn6P10+SD1x0QyjcmU4SblUNZWJ+Sam7Z5PhbiMrtMxDKCWNUhbbUH1Um2Ot3UMZIcmddAQFKFgtgw/AoPTwghJL+F2M9Mcn67ZNg+xFTEZI5pm8Vlwgln5rhMzMVCPD0Jh2ebPTfL4jLRC61/k1rsstspfsQUxLVDXdnyJS6yil/omb7xjW9UulmEEFISauS6j4Pe/I4CoSzEPrpkkPpP25yVpS4xqBJeNIeaS653pnvQEclzuU/DwQDam0IeC3G3x4fYcvXgwLo6D7tW7Vx55ZX42Mc+5q63tbVVtD2EEDIXQRk0Td8srMplQga9+VJ7xkJMAzEplr5cC7GEXfMIYrG05rPyFstMUSbmirhNDHiy1amBgLYPscDQa7VF3QliEcBLliypdDMIIWRePsR+WnBNGVTn66A9sUAzUx0pHrG0BjTbN9c0VBpkZ1CduEzMKW1z0fEj5nafdrWEMeQm5+iBlhgF0gm0hlsRDoQxYPs+kzoTxDt37sSyZctQ7YiLxFVXXaVCv73//e/H5z73OYRChS8zkUioyWFkZMT1m6bv9OxIH8mPNvtq4WHf12//qygQ6hz+1K8Sf0j9ul/ttzLVpXV/vkd571cOv/p+3+iUEsOaPKiN90MzDRjN3eo8g7Yvbu45k8kkJiYmMDk5ianJSfVbLttSqRRS6RT0tI6BybQq+8xTT8HYZqJ9fAtOA/DwunX4c8SKhvXQuofQG+lFMBRUeiEcjiASiaApGkW0qQmxWAxNTU1qyvUjFt9n1a5mS7wbY/uA9mXKStw/2Vf2fuK9Xxql9FPRgvjwww/Htddeq0RmtfKZz3wGr3vd61Tc5IceegiXXnopdu3ahW9/+9sFj7n66qtxxRVX5A01x9Bxs2OaBkZHx9QTtsbwMgsK+75++z+VSqsv58mpKQwOlt/KpBu6cpkYn5wse/2OVVt6ZHhkBIOD5f/h5r1fOfzo+6mpSby0bReaA2ncf9+9CA5swlkA7nroz9jxSB82hDYgpsdw3fe/5wrCYhk3JEn5gXj11e0I7xvHIn2X2i65ErY3mUAHsHHjBuw0dhRdp7huBAIB7BlZjIF0FD/5ydNYauzC2wGsu/NWJLsPQ1SPYvPOTdjZvRPNzaX7PheC935pjI6Oll8Qf+1rX8PHP/5x3HLLLbjuuuuU6FwIvvjFL+Kb3/zmjGXWr1+PQw45BBdffLG77aijjlJPeNJmEb3RqBXsOxcRzd7jxEK8YsUKdHZ2or29vYxXUs9PX5rqL/mCIAsH+75++z8QCqjUyuFoFPH43EfWF0INOgaUxavc9YvYFqRHWlvbEI+Xf5Q97/3K4Uff/9s1P8GG4SVIm2E8/PCL2M/cqbbvGBjHcGQYia4E4lpcCctwOIxQOIxwKOTOA8GgmgdlWzCIoD1J+0aSwPW3Dyqj3nHLmhAbeQl4AMp4pgeTuGPbHTj+uOMRD8bVtYkhTKa0zNNppNJpGLqu5ulUCmnZJhboVApNYyYSOjAyPAw9Oa7a/OpLz2HLphEkFiWwaWATblr/C3z2os+hXPDeLw25D8ouiD/5yU/inHPOwUc+8hEcdthh+K//+i+87W1vg998/vOfx4UXXjhjmf333z/v9hNPPFHdvK+88goOPvjgvGVEKOcTy3Kj8WYr7WmZ/bXwsO/rs/+dTHVqcJoPf1s1aE/VbrW/nEj8VdguE37U78B7v3KUu+/F1SEYaUZvSyvefMpbsGh8PfDgjTjtzLORal2Ou56/C6vaV+PkFaeUXHd6Uu7HQUSiUTQ1NyMyZf3ey3rE1krNsRjaoqUbwDb9eRCvbp3AW885B6HJfcBt1+GUk47Hge1H48VtL2JwfBDJvmTZ71He+8VTSh+VNKhuzZo1uOeee/Dv//7veOc734lDDz10mn/uk08+iXLS29urprnw1FNPqc5YtGhRWdtECCF+4sQJ9i8smjVoz49Bb1K34Ff9pD4xtSBam6NqYHxozPL7NYNWxImUkUY44F8MgLlGrwgHNaTs/OdmwGprCGm0trWhpbnFzbBHaoOS7zDxu/n1r3+tXrOdd955Mw5YW0jWrVuHRx55BGeccYb6QMm6DKj7wAc+4MsrR0II8QsRkpoMnPErk5wdds0PvSo+jnASc1AQkyIRXRmWMBMiUI1UlshMmUmENSsRxlzJdyvO9+70CmLDFu+abrVdokzo4DikWqIkNStuEuLCcNZZZ+H555+fs+XWD8Tt4cYbb8Tll1+uXr+INVsEsdc/mBBCagFJnBH0OTGHX5nqnDr9EtykPtFNDaFgjiAOWiI4ZaQQtsVxqRRj/J1rPOJIUEPStRBbbdUMKy5xSKMgrltB/Na3vhWPPvqocpf44Ac/iGpDHOQffvjhSjeDEELKEhZNfqL9Ssxh+ShLNGK6TJDqEcSuhVi3RKVhi+C0mZ6/hTjftnnen9LelPMZDYTUY2bAFvNhLURBXK+CWEZdPvPMM9hvv/38bREhhDQ4jgXXPwuxYVlwDX+SimQEcfnrJ/VJWlwmbAtxwEhaycW1oBKtSSM5Zx/i+eWimxlpr9zj8uAaDGjKou2I+RBdJmqOou+wO++809+WEEIIyQyqM03fBtU5iTn8qN4RxE5iEUKKdplwLcQpa0CdpkE30+oBMazNzWXCT8RlQhC3ieaApizajrtHSJPhddbgQFIbMGYHIYRUGSKElaD0sX7JCObHoDdHxEvYNbpMkGJJi8uEHQZN/HCdAXVpI+0OUpsP+e/EebpMeASxqi0YQcC2EIvLhOM+RGoDCmJCCKnSsGt+CUo3rBt8thBTD5M5RpkwbAGcNJNlEcR+DaoT0kZmYJ1rIabLRM1BQUwIIVWGiEo/LayZsGumrz7Efrl8kDodVOf4EOvJrAgTwnwH1cGPsGu2gPdGmtA8FmK6TNQWFMSEEFJlWBZc8SH2q37DNwuuG2VCBhtREJNSBtW5FuKMy4QriOdoIS4u7Nr8fYgFIxjNhF2jhbjmoCAmhJAqw0nd7KuFWGJN+KCIvYk56DJB5jSoTlwm7EQXabM8FuK8YdfK5EOcyVYXzgq7JvXP9xxk4aAgJoSQagy7Ji4Thn9h18SC68ePtZuYgy4TpEjkNpHI2+6gOoky4fgQ2wIzMlcLcVGF5udDnMryIXYSc1hBvAyNA+tqBQpiQgipMpywaH5aiP3KhGeY1mtiywe6/PWT+kO3ZavjMhEwEp60zU4Ys/laiPPbiOdD2FZQGZeJSFYcYoFuE7UDBTEhhFQZ8uOt+fi6VQ3a882H2A675mOmPVJfWHdjxgXBjUOsIjjM04e4qDLaPF0mrHUR8ZrHZUKghbh2oCAmhJAq9SH2b1Cd7UPsc2IOukyQYtBtKZI/7JrtMuFHlIl53p6uy4QbhziMgJ5t0aYgrh0oiAkhpMoQy3BQRWnwoW7Hx9ensGvuoDq6TJASBtQJIW/YNVsQO1EmHBeEkinCP1grV2IOZSFOWPsclwmNLhO1AgUxIYRUoQ+xcpnwQVFmJc7wY1Cdx2WCmepIMVge8zlh14LRLB/iqowyEcgeVGf5EGdSN6tttBDXDBTEhBBSjVEmfPLxlQgTgl8uGYZhD6rz0eWD1OmgOjd1c8ZlYt5xiMtYKpdgQIMYiZP5wq7Z7aUgrh0oiAkhpMoQy6pfmd7E+ixopiT+8NdCzMQcpBSXiWwLsS2IzRSC8k+z1XKVIX7E3jjE08Ku2Q+gpPqhICaEkCrDsH2I/dCTWYkzDP/qF/lClwkylygTlg9xJlNdKGCJy/mQ/06c//0pfs9ZPsR6tiCmD3HtQEFMCCFVhvj5ShQIPyysfifOyK6/7NWTBoky4QhiyVQ3H/9hP8Ou5VqIlQ8xXSZqFgpiQgipQgux5tugNycKhHgT+yGIdU+UCSpiUkKUCUcQ65K6OZOpLmKL47KHXZt/rYgENCQ9meoCtssE4xDXHhTEhBBSZYjl1gqLBn+jTPiSmMP2UfbJJYPUcZSJoMeH2OMyMdcBdVZlZSpTAGlzJg6xN8oELcS1BgUxIYRUGVbiDL9cGnyOMmFXKq+haSEmpaVuRsaH2MlUZ6Zcf9xqC7uWK4gNFYfYthAzDnHNQUFMCCHV6kPsy6A3b5xgP+rnoDoyN0HsJOawfIgzLhPhebhMLIQPcdKbqU58iE2TUSZqEApiQgipRgux6a+FOOhT2DXdZ5cMUn8Y3rBr4i5kJJW11Qm7Nu+0zYXehpTh/lQWYteHOOIK+oAWsN6S0GWiZqAgJoSQKkOEql+Z3hxBrOIc+zCozrEQWz7EVMSkuCgTkplREl1oZlptc+MQG8l5+RAXkbl5fhbiQHYcYlWfHWlC4ifTZaJ2oCAmhJBqjEPsl4+vJ1OdHy4ZTuQKWohJKS4TtreEG8c3E3Yt7Q5Qq04f4kymOgm7JrixiBGihbiGoCAmhJAqQ6y4YjHzIyyaNzGHHy4Tbv0Mu0aKxDADCGm2b7s9KM0Rl1bYtfkLYr/IijJhi3gn9JpYiCmIawcKYkIIqVIfYl/CojmJM5QPsR/12y4Tyh2UgpgUayG2BbEdtsxxP0iZyXkl5sjgjxOxSsxha958LhMUxLUDBTEhhFRp2DU/4wSr+n1JzJGJMmEbzgiZEXkfErJdJhzrqusyYaQRmo8PMfz1IZaBgIVcJpQPMehDXCtQEBNCSDUm5hAPR78H1fmZmMOnKBmkPgfVZSzEtiB2XCbmmbp5IVwm3LBrbpQJukzUIhTEhBBStWHXfKg7y8fXj/qtSoMqMUf56yf1mbrZHVRnuxsYjsuEkSyLD7HpV+rmrEx1VjsDttsHBXFtQUFMCCFVhDeTnG74OajO9GXQW1bYNVqISdEuE7Zvuy2IHX9ciTIxv7BrWlnKzOxDnBt2jRbiWoSCmBBCqgj/XRoyYdHge2IOCmJSqstEIstlImWkqjrsWijLhzg63YeYcYhrBgpiQgipIhy/26BPFlzD0H11mZBgcap+da7y108axWXCCbs2P5eJudt+5+AyYbfTsXIrCzFTN9cMFMSEEFJFZA1K8yMKRFbiDD8G7dmWPlqIyRxcJhxB7Gaq83NQXRnuz3yCmC4TtQkFMSGEVKkPsS8WXNclw584xNmJP8pfP6lXlwlrOZCbqc6Ynw8x/A67FtRUeEHx93fcPBiHuDahICaEkKoVxP5ZcIM+1a+buq/1k3p1mcjOVCfiUu4l+VcWH2KfokxIHGJBBtaZWgimyGtP6mb6ENcOFMSEEFJFuBZcU3yIy1+/YQtWyyXDPx9okQk6BTEp1WXCyVSnhdSAOmFePsSavxZicZkQ1MA6TVNuE0zdXJtQEBNCSBXh+PiKhdWXxBw+D3pzfaDFKYN6mJTqMmEkrQF1mqZCrglhzXJFqMYoE+IyIWRiEUdcUU9BXFvUjCD+2te+hpNPPhmxWAydnZ15y2zbtg3nnnuuKrNo0SL84z/+I9Jp6wNFCCG1gGvBVYLVP5cJv+IQ++2SQeoPPWdQXSbkmmVpnVccYvhLJEcQi5j3+hAzdXPtEEKNkEwm8e53vxsnnXQSfvjDH07br+u6EsNLlizBQw89hF27duGDH/wgwuEwvv71r1ekzYQQMnfBCn8HvfmWCU/kjZXsgJnqSDEYyofYfrOgi4U47KZtFsKaX1KlHBZia+6mbw6GEbBjKdNCXFvUjCC+4oor1PyGG27Iu/+OO+7ACy+8gLvuuguLFy/Ga1/7Wlx11VX4whe+gMsvvxyRyPxfuRBCiN9kUis7EX39S5zhS1g300TA9sr0w8JN6g95hBofG8Ef//AHnKZvREvKwKOPPIKR8Ijav3fnXrQPb0c0EkEkGlW/59FoFMGgrUbnSbGZ6sTwlkomkUgk1CSGuj0DIn7DeO6FDdgdnMSKhI5tWzZh7fY/YjQyCqOVgrhWqBlBPBvr1q3DkUceqcSww9lnn42///u/x/PPP49jjjkm73HOje0wMmJ9AA3DUBOZGekj8XNkXy087Pv67H/dSZxhi0u/6pewayJYy12/JP5w5IXu0/co7/3K4UffRyNRtMfa0BybAobTSBtQb3kHggPAMmDzS5sxmBzMe2wgEJg2iVAWkasF5FMkd+NrsGHDBoS3j6E3vQMHAnjyicexvmkSaAbuv/c+BM2ge20ifB0N4J3yMWg0ATgC23fsQio8ibQ8BBppNDU1ob21HeFguKx9xXu/NErpp7oRxLt3784Sw4KzLvsKcfXVV7vWZy9DQ0PqQ0Fmf/06OjqmbE2aVjMu6XUB+74++39gasAz6M3E4GB+ITBXRkZH3PrTul72+scmxhBUA+pMTCWSZa9f4L1fOfzo++bmJqxeswTvOvWNaHt0O5o3bcWH3/9RvDTyEu58+E689exzsBiLMTk5icmpSWXEEkttKpVSk4wVkt9rNYlgtAWsJRxtVwblIpSJvS1z921MIICQFlIiWpZFSAdtYS1TKBRCKBRGJBJGWKzTkahqc3NzDP2pMG69ZSve9vbzcOSyVnT88hYcst+hWHbyuzG2aRxbdm4p62eA935pjI6O1oYg/uIXv4hvfvObM5ZZv349DjnkEN/acOmll+Liiy/OshCvWLFCDdxrb2/37bz19fSlqf6SLxKycLDv67P/p8anMmHRTCAej6OctCRa1DwowkALlL3+5n3NyiYX0DQ1hqPc9Qu89yuHH30fDgWVK4TcK6GmJlWvLLca1r26bOlyHBQ/aM71/7/L78Ipp56Gvz52ObTdzwA3/AfOf8c7EZ7ajrWPrMWHP/RRZcmdC1v6xgFsRay1VbVZBHRTUxTBeByRaAShYHk/A7z3S6MUt5qKCuLPf/7zuPDCC2css//++xdVlwyme/TRR7O27dmzx91XCPFDkikX59ULmR3nqZr9tfCw7+uw/53wU+LSYH8XlZdMnGD4UL+EXRMfYvnPn/Zb8N6vHOXue3l4krtSWWfF1cGu37lJQ8HgvM5l586wrb/WSsDZaIumudYfDDrH2W1Wi5llubZy36O894unlD6qqCDu7e1VUzmQ6BMSmm3v3r0q5Jpw5513KivvYYcdVpZzEEKI3zhRIHyLQ+wOqvNn0J602fLcZJQJUhwiGvPdK27MbC3oc/1zF5ZBe0BeofrnUzdZWGrGh1hiDA8MDKi5+Ak99dRTavsBBxyA1tZWvOUtb1HC92//9m/xrW99S/kNf+lLX8KnPvWpvBZgQgipRpwoECpKg+lj4gzTpzjHknfMFgl+CHpSf8jtku9ecUMQFhkFYqb688XEdh4O55OpbqZ7XerXaifdQ8NTM4L4sssuw49//GN33YkasXbtWpx++unqlcfvf/97FVVCrMUtLS244IILcOWVV1aw1YQQUhqO3VbiBPubmMOvOMSmGlRnLZe/flJ/iODV89wsbhrzeYrKYEAsxPkFq1hwiw27lg/H80IvWL/fqUFIwwliiT9cKAaxw6pVq/CHP/xhwdpECCF+ZpJzLE/z+cGeySXDn0x1TmIOZqojxSH+vPkentyY2fO8/5XLRB7/ILk/5yu2nbbla7981ubr7kEWDtryCSGkisj4+Drrfrlk+JGWI5OYQy3TREyKtLLmczlwsyrOU1QWcsmQtzHzFtuBGVwmYNJCXENQEBNCSBXhTa0slNvKmuWS4YMFV4kMe5l6mMxv0Ft5fIiVS0aee10eDuc76M1xmcjbfvW2hDKrVuBfihBCqgivBdcPK2u2D7E/USzc1M10mSBFisp890rZfIgLCG7LpaFcLhP5BwXSQlw7UBATQkgV4VpwfbKyuhZov6JYOAOJ1Gvq8tdP6tVCnN+Ca+0P+BTFQh7e5l+3qivPh8n6LNCHuFagICaEkCrCteD65DKhm1ZK+oAnjW05sUJN2eeizwSZh8tExoc44FP98x+wOuOgOvoQ1xQUxIQQUkV4LbjWernrz2Sq88WH2B5UR5cJMu84wWVInGEdn79+eTicb92ZxBx56jfmXz9ZOPiXIoSQKsJ9TWz7EOcbDDQfXJHhVxxid1CdRpcJMu+waM7+edUvYd3yxTnG/MOuOU3Ld6+Xo36ycPAvRQghVehD7EiAcltZvYPq/LEQc1AdKVfiDMu9pxyxgvNHgTAQLNOgOibmqH0oiAkhpBrjEJt+uUyIj68lWP3QqyqUlb1MQUzKk7rZH5cJlZijbGHX8kfJ4KC62oGCmBBCqgjnh9X5GS3/oLqM1cqJ8+qH4Jb/OKaOzGvQW5l8iGXgXL6PkVigy5eYY+bPGql+KIgJIaSKyLwmtn2Iy6wqRWRY9mGfUjfbI+vpMkGKRTSl7qOFWAa+6QUz1fkXh9j6rFFm1Qr8SxFCSBXh9fEVyq0pvX6NfoVdY6Y6UrIFN28cX+fhUPMnioVKnFEel4l8D65MzFFbhCrdAEIIIflTK/uSulmFRQv4LIgdwU1FTIobVJdK5x+UJpTDipvfZaIciTkKP1wGBwNo1pvnVT9ZOCiICSGkitAl/pTpX6Y6b+xVvzLViUQQncDEHOVDHi7kbydzCW0nvtrioypzcVORfncmp4xYWOWBKn8ZZ5u3TGa/s02dA551Q8fI2Ahi4zHl1CP75J61yhiZdrrnU0uZtuYpsxM7kdLSuO7ZR2COPg80mUg9dQ1eGnpJXfs1T31X3VPetmRdS+61uWWsaxtu78ODo2F85t4YjKkhYEkv9D9/C9uTgxiYGsBH7vyw2/6s689qt7We77ytB07i314O4rqtGszWSRh9dyD+42dx3K7jlODeuXMnli1bVulbiMwCBTEhhFQJIhReWrcRhw8dDs181d02n/qyBYKBRDqhBPdIQENam8Tg1GBeEZFPdDnCYKYyeyf3YsLU8UTEwGToBTy4M389XoE0kzBzrsFbxjB0jE+OI9oUVaLEFYCGdWxWO23RkhGJHkGYp4xXqOW/fqfNM4hG95jMtrzH2Ntyxa63jx0RVouIq4M8fIkVNagFPesBFe5M/GvFejsGHWYggN++HIWWGEUgAgS234WJ9ISq55HdD6toDZZvunWM1ONMmW25Zex1ZcQNIBqMIhBqRkg3gEg7+owphAIhrGhb4bYtM1n1qHa657Gvwz2/dY5/X/syXnfQIhyzIo7wI9/DVPRo9O3eX/09l65aikWLFlX6T0GKQDP5TiuLkZERdHR0YO++PrS3t1e6OVWP/AANDg4iHo8jEKBL+kLCvq+//n9lyxbceOPP1fKrbc/jkdad6O2IIRBQsi8jmnLEXK5Qywjh2vx6zydyxNLmCisVp0tetcu+wLQy2eteUZMrcqwyrrCSucgebRYhBK/Y8ogo9/yZdbeM/AvkL+O2RerMFZH5riNXWOZrd47A0/K123PtmW0zlxHFMDo8inhnHKFgaJrYda5DhfYr0n/2ol8+jaGJFG648DgE7/0agi/8GslPPoFbN9+Crz56FR577xPzSrF83n+sw7ErO3HZXx4KbffTiFx/JpIfvhv/uusePLjzAdx87q8xH4688i584eyD8IETV2L7v78dvxg7EWlTwwEHHIjz3/EOhELlsz3ye790TbeotwfDw8OzajpaiAkhpEpYvWYNTjn9DfjTvQ9iv9HDsSypoc18CZGg5ekofsWaHZJN5pZs9G6zBYwqm9kX8Ez3B9O4P5DCVfv2Ya8Zx5J4u1t3dnnr+Hx1SN3Z7chM3w1PYZeRwLf2DGCnthhrulvcdst+Sypl6pU6cs87K2Jh1XUEg0YmVRhZGMSarfo+WLa+/z9Dk0jrBsI/bIE2thuYGkL4h2dACyahRYDI9W+aV/3Xjo6j+cUgwj9sAlKTalvo1o8DMSAQTKtzzYdbg6NY9EgU259cgl+MHoc0/BHDxF/4lyKEkCri1JNOQ9QE7rnvQQQSh6Ft7yKsigyo0eyOlUxmjp+uejHtrmfG46tt9rpdTM2borsRiuzGWyYm8Xv9KHS0LLfL2sd56pMFZxR9Vv0Ba920KzZkFL+9P629hLDRj7gRwSPmwVjcFJ/eVlW/XZfnWpzWq3M6bXfbkmmbiLJUKoVoJGK1yds3nrrcY522O9finHOe0QsaEXnrkJxKKHeVcvXflql+TKZ0rFy+CNj5BLTUJMzlx8NIvIrgxEa1PB/WD+1BVyyMxcu7gIk+YGATzEWHQUc/AqmBedf/1O5XsSS6COsGey0xvGIxxXANwr8WIYRUGSecfBqSCOPB+9Zit9GDzbGTMB4/CLrp+AVb0ScMI7Msr7Il1qqzbLlUyCtW012WYwfNP2IK96jzfC/9doxPHu4p76nbLi8D47Lq85Rz2uIdPNe07EbsHx7HtnQc/5S8ANiAqkWEsfWK3xLMQXvubJOkC2quxLS13/FJlblER5heR2ZZ5laZTD1u3XY90/ZnndM+j2c50665nzNf26fXmb8vxFVlYmIc7a2tCAXFFcNzjkCBvrDrztSZfa0/GXgRe0amcODrX4vuR76FlolB7D7lKgxv/RW05zej/41fm/VaZ+I/tz6Mg5e04di3Hq5cJoIbfgv95M9Cf/V2aPueRPqt35rXffSDJ27BG4deBEydluEahn8xQgipQt5w8kmIhIK45+670DLwEt58yCKcetpp8/KlFP7ruWfxq40Rd/13nzoZkdD8fREdcfyldWsxtGMrukdMLIs14XefPLkooa7nEdmFxL9ENRgZGUWspVWp2jnX6RH4btuMnIeDrIcOc9aHEtW+OVyrTClPW2Q9u89y2p2zf7ZzqvPY1zDTA1UlRxW96dsP4JLQNrw9MInT/vk+hOMvIrrIxAlXr5312NyHDK/4n0jq2LBnDPds2IdD8TJ+CuBj//0kno3vgB6ZxFu+8+CMDwdKeNsPRRkxb81bkwM4RdugQrZQDNc2/KsRQkiVcsIJJ6i5iOKHHvqTWp6vKJbBdvLj7lCucdWOVVFMiI4Y0Uygtan8PzPWwCJwYJEPyP0w0xuBVNrA4NAQ2ts7sh9GnHLuA0VG/BcS6s5DxnUPvIKdg5P4v39xCNY8cx96tkfx/bceg/v3vILbdwVxzXuOnlH8O28yCj38/PSRbYjHwnjzYYvRMzoOPAO86eBejOrN6E9H8JbDFuW91tw6cx9MQmP70DnwJDTNxJIVayiGaxz+5QghpIFEsfy4e9PJljtUsJOpTsWNZRzimsPxtS40uFEeRsxECPHWSNkeRn7z9C4MTyRxygHdCL4aQ3B3EGcc3IudZgzhPUGcffjiedV/94a9WNHVjL9/4/7Qdo8qQfy+E1Zg87ZWbBxsxiVvOWhOEWFuvvl2pE2DluE6gY/WhBBSA6L4TWeepZZFFD9w//1ztuxaiTkyYkesbb5kqlPWw7JWTeqUQIF7RWVVnGeWOkFcKPLVP9fUypYYvgnpdJpiuI6gICaEkAYSxZaFuPwuE259kPr9qZvUJ6JJ86Uol5ja5RDEqv48ilg9vJVYP8Vw/UJBTAghDSSKLZGh+eoyoQYg+ZQamtQfcr/kt+BKGvCAfxZo5e9efP0Uw/UNBTEhhDSQKJasdl4RkM8yNx8ke57mkzsGqU8swVrIgqv5Vr9yHypSBlEM1z8UxIQQ0kCiWFc+vh5BXGYzrvLLtCUxXSZIMahM3HkFsVhwJZfh/AgUqF+5DxVhIaYYbgwoiAkhpIFEsWUh9s9lQtXv+oWWt25Sn8j9qEuqwxzMHPeeedVfwCVjtvophhsHCmJCCGkgUWyoQW9eQVxmC7H4Zdr1l7tuUp+IBTe/y4RERAn4Vr8luAtboCmGGwsKYkIIaSBRbA16y3z1l1uzKhFjS27qYVIMkhku370iItb78DZXJHW0med1heU+lL9+iuHGg4KYEEIaSBRbI/d9tBArv0xZktfgVMRkvoPqyhCHuGCcYyOvDzHFcGNCQUwIIQ0kinP9JssdCcJ0E3PQZYLM06WhTIk5pP5893m+xBwUw40LBTEhhDSQKLYSZ/joMiF+mXSZICWmi85nwbWyKpYjMUcBl4wcH2KK4caGgpgQQhpIFDuJMzLrfoRd86duUp8ECw56y35489Mlg2KYUBATQkgDieJcv0nDx0F1UjdjEZO5WojLl5ijkEuG5U9PMUwE/sUJIaRORbFwz913KVEsnHraadNG1vuRmMMeU6cQHVIGTUPqGGXBzXMfWjGzgz5GsTAQGYrg5ocphgkFMSGENJQoNkO5iTnKPKgOBoI5USwKhbYiZMY4xBLTukwW4nwRT8JDEbS+2IK0QTFMakgQf+1rX8Ntt92Gp556CpFIBENDQ3lfu+Ty85//HO9973sXqJWEEFLdoji0Mgwt7l+mOifsmnOGRo+8Ji4jYomUBwXpG3EpUXORe6apBo55y4gFXyyjThnZrvbJXLxqzXxlrDqdMoahu2Wd461ynjLeY/KUUeewz+9tp8zHJ8YR3RWF/GnzlbGuzdNOdT7PteSsvzg0Cr17FJf+6X9hDj4Ps8WE/sDn8eLgRgwnhvGZe/8hf7s9/aO2Sf8Zmb52yuxNTiLVbOC830Zg6FMwVixD+x1X4YidR0MzNYphoqiZv34ymcS73/1unHTSSfjhD39YsNyPfvQjvPWtb3XXOzs7F6iFhBBS/aI4ui2C1sluPB2JIBHYjQ2DT2Mi0Jwl1swCwmh6mekiZ2CqH5v1FH7VlEY4/iB+tnE3ggHkFULTRKJdZkaRaB87lZhEKBxW5QsJyYzYs8/hisTc9WLLWALLaVtmW45Q9ZSR1tUa4lcrg83EyBSQf5o1ie+55R+uIRgIzlhGXB3Eupu77pSR5DDqSE3DuJ6EGZzCcCKCoJFSFl0YKdWHUn80GMk5xjpvUJN3EVadVt32OXPKPLipH0NTabxl1XIExvtgbr8HI5PHAKaGJauWUgwTRc3cAVdccYWa33DDDTOWEwG8ZMmSBWoVIYTUniju2bcUV3eciT2dv8FXn/pN2c4hIkREYD+AZ2NAtPkOXP/CWlcIqUnkkStgvNsKlfGKHGtd1gxdR0SPWKLIEWqeY8KBsEcsOfVqGWHlCDgRd6oOLX8Zu23eMtKWTB25grCYMp5ry2m3JR49ojHPtVl15bZzertnEokZIZu/TCEMw8Dg4CDi8TgCgfKMy7/+T6/g39dvxn98+EwE7/0agnt+jeQbr8HXHv0qNg5uxD+f+v/mVX//tuexYWAUnzr69Xjlybtx81hQObbTMky81N1d8KlPfQof/ehHsf/+++MTn/gEPvShD8344U4kEmpyGBkZcT/0MpGZkT5SlhD21YLDvq8stdj/xx13HFJ6Eg/cez8OHT4Uy4ZW4i1vOgZrelpt65vmCqNglnUvI55c66ESko6F0Nouy3/92Jdw8lQSn9w9gPcNfAg//dCxaI6U96fGNAyMjo2irbUNWplEWVVh+SIU2JFekNMXxDAQGhsFJttglqnve0Z34RDjVZg7u2GO7oGZTsDc+RSM8T4EUpNqeT4sn9yCqeQYtjw+hl/d/RjSWggH7LcIbz/vPCXqa+kzXIvfO5WklH6qK0F85ZVX4k1vehNisRjuuOMOfPKTn8TY2Bg+85nPFDzm6quvdq3PXsRHWdd1n1tc+8jrwdHRMfUVmi8FJvEP9n1lqdX+P+SgQ5Ee2oN1T21Eh9aCyD0/wUF4qHzD3pYvRWhyEu3jQ7gt+n+Bn8EXmv2pllSg798tkwST8LwAbrrhLGg9XQiGw2p5PnwWwMtYiZ/fcb4SwweZm/HG178Zo6OjqDVq9XunUpTyN9bMCgaJ/OIXv4hvfvObM5ZZv349DjnkEHddXCYuuuiivIPqcrnsssuUT/H27dtLshCvWLECu/fsRXt7e9HX0shPX/K3EFeVcr0+I8XBvq8std7/D6/9A+5/9Bm1bLbEocc6YZpWAgNlUzGtAXJOLGHZZlmmrG2CzC1fY7scTDzV+xOcMp7GRQND+HTiU+hsDttlneNMNeJffnlkco7L7K895GHCcmGw5soHVi3DY1W3Bn5LCDB1t9j7VZIUZWW3ywacY6xwdVn1quPEf9faZp3Xrtc+rzpXwNqmjrMHnLttsctIHW4b3TL2fuVWkVm2zmGXkzE9qSSaolEEA4GcNkoZz3H2tbptcfvD06aAhie2DuGejftw6VsPworNP0P37gfx/Knfww/2/Ax70324bNVFbh9mrte6DqnX6o/81ysn+8l9GzG591VoMJVl+Ly3nIpg74GoRWr9e2ehEU23ZPEiDA8Pz6rpKmoh/vznP48LL7xwxjLi+jBXTjzxRFx11VVK8Eaj0bxlZHu+fXKj8WYrDuuLj/1VCdj3laWW+//kM/8SobZFyqdYGx/EaUcfpuIUz+RiVgzn/+7XWNUSRJdu4vk9a7DuH05HV0uk6OMdcW2JZmvZEsuZZV03MDA4hPb2DqXU1DYlzLNFvNThCnqpU8oY+euUY63y2fV4y1l1Zj8ETCvn7p++LV99s12rU4+U0e3lRN52ZdepHlyMnOvLbXee/dOu35h+Ht0QG7GmHpKmtz1TX8b5YrYnnRY1vfe2JC4J6Xh7wMS7fpdA09I0tIiJ856cnPP9uDQwgrMiryKkmXXjM1zL3zsLTSl9VNG7ore3V01+ISHaxPG/kBgmhJBGplDyjvmIYisyQPZ6KVjWScvqN5OVTEuGEW+PUhQsMMUOqjNneLDIFuImfvXnHfj2nZuw9vOnoWPdQ2h9qQl3vP8N+M4zd6M/AVz2tpOnPfB4hbpX3HsffgZ3v4oND/1ZPQQtW7mmLsQw8Y+auTO2bduGgYEBNRffXhG7wgEHHIDW1lb87ne/w549e/D6178eTU1NuPPOO/H1r38dl1xySaWbTgghDSOKDScxh314rbpBkPmRcWGY/T7qaI4oG/LSjiYEm8IIBgNY1R1DcySAFjOEAxa1lnx+Scf86MN3wDT0urEME3+pmbtD/IF//OMfu+vHHHOMmq9duxann346wuEwrr32Wnzuc59TT4gilL/97W/jYx/7WAVbTQghjSWKJeya5TXrrFMRk5lxXgbkvk0Qz3Xbc7pkMXzzzUzHTEqjZu4QGUw3UwxiScbhTchBCCFk4UWxCGJLwljH0UJMZsNJz5x7r6i03yXefxTDZK7Q+YoQQogrit90phXiSkTxA/ffX7IPsBIxtBCTOViIZYDetIcrTeKxFQfFMJkPFMSEEELKJoolTqrXb5SCmMyG8xYi9z6zBHFxFmKKYTJfKIgJIYSUTRTLoDonDq9APUxmw4koMs1lQnyIi0g+QTFMygEFMSGEkLKJ4txBdbmvwQkp5DKR+zbBetsws0yhGCblgoKYEEJI2URxZlCds+5zI0nduEzkCmJrUF1hmUIxTMoJBTEhhJCyiWLZ5/UhLnVQHmlkCzGmW4gLCGKKYVJuKIgJIYSUTRQrH2Jl9bPXKYhJ0WHXsu8VvcCgOoph4gcUxIQQQsomii2XicyoOrpMkNlwRG/u7ZQvMQfFMPELCmJCCCFlE8XWoDo3yAQtxGQecYizfYgphomfUBATQggpmyjOzS5GCzGZq8uE14eYYpj4DQUxIYSQsoliec2tXCboQ0yKxHl+yr1VLB/iAMUwWRB4RxFCCJmTKBbuufsuJYqFN5x6qht2zXWZoImYFJ2YI8dCLA9XAwHc/ADFMPEf3lWEEELKIopNmKJiclI3V7CBpKZcJvQcQdw03ITw5hDSBsUw8R/eWYQQQsoiitc99BAO7zgciBnu/lp1mRAXELF2i5XSsJfVBMPd50yZMro1V2U82+RRwcxfRtwC1D63jGeyt+WWcdftbU6dpqd9uqln2pmnjNt2uy2G4RxrtzNfGTm3oWMqMYVwJOy2ySmjzumu2/sM7/Vn+tBpi1zLaCKJ2JpxfO5PP0Boci/MdhOxGy/AAa8cAM3UKIbJgsC7ixBCSNlE8aHDh+JPgS14rmkK0SW34Keb7scfd0ds4Zgt1ERmZcSdV0g6kzmtjFo3dKTSKQSCgbyiM/uY6eedfsx0saus3TVIUAuqzG+S8ljTAsr6GtCCymov/riyL7dMUG1Xa9PWrWMy2yQpt6HriKSiap9Txpm89URkPRi1z5N9XrddmoZ9oylsfrUPh3YuQ6f+NNDfhNTwweptw5JVSyiGyYLAO4wQQkhZRLGIy7X33IOOwTXY0zaFpuZX8OroXgwlw7ZwsgSQ5hVRtnhyhFVQ7bf3BWTJPsYVUpZDRjqZRlM0ikDAI/Ygossryuzz2ALMex4lyFyhprbmbZsrIu2y+c6TfS3563XO59TnLBc8p5pnxGzutWS3I3NOvzENA8PDw+jo6IAWKM+4/GdfHcYz9z2Nj51zHLBrAr8cbFbbaRkmCwnvMkIIIWXhxBNfr0SiWIoXjx6Kfx15GGfsuc/jUUzqgaYy13ccgD81AS//fCV+jvOR1oIUw2TB4Z1GCCGkvO4T6Sncc9+DeEB7PR5sOgNdXR22tVcsnVYiBsviaa3Lsohmd7sKxZUpqwZd2XPLPmwilUygqanJssQGrOO9x1j1y2HZ26zzaKo91jHWlLHUZo51zqmOkfKy7j2PbbnN1G+X91yDk3TCudbcudMeZdxdAAtvOSzEY2NjaG1tLZuFePPeMXz79vVY1ZRWyTkOWLWcYpgsOLzbCCGElJUTTj4NeiCC+9beg36tG8+mDoFhR5yw/HdlsgauiQCScXfOttz9MrfKePYb9nFKGlvbcuupDrwNmb1RooeVy4gj/m1xLoLfK9StMtayI+6dZacOr/BW+1QZT52z7FfnCeScRz0cmEinOtAUjSAYdFxRPPU47iEF2u7db7Ud2PPqdiwJ22KYlmFSIXjHEUIIKTsnvf71WLpkMVatWl1231aJiDA4OIh4PI5AASuliOYs4Z0jsh1h7SyLmLbKZIS1bjjlvWLdLm8fK8dk15kR9U6dGaFul8s6r7Rt5nblE/z5HiymXZ+3vfaDRVadWW3LrkfmKd1pS6YetT0lAxrT7sPI7P2Y5zz2crs5htPN5xDSTKxcsz/FMKkYvOsIIYT4wurVayp2bsdFg2DBH0ZKre+3v00jnUpTDJOKwjuPEEIIIRVBRPXb336eshoHg8FKN4c0MBTEhBBCCKkY5bA0EzJfeBcSQgghhJCGhoKYEEIIIYQ0NBTEhBBCCCGkoaEgJoQQQgghDQ0FMSGEEEIIaWgoiAkhhBBCSENDQUwIIYQQQhoaCmJCCCGEENLQUBATQgghhJCGhoKYEEIIIYQ0NEzdnIPkUxdGR0cr3ZSawDAM1VeSg57pNxcW9n1lYf9XDvZ95WDfVxb2f2k4Ws7RdjNBQVyg816z/5pKN4UQQgghhJRB23V0dMxYRjOLkc0N9vS1c+dOtLW1QdO0Sjen6hkZGcGKFSuwfft2tLe3V7o5DQX7vrKw/ysH+75ysO8rC/u/NETiihhetmzZrBZ1WohzkA7bb7/9Kt2MmkM+mPxwVgb2fWVh/1cO9n3lYN9XFvZ/8cxmGXagAwohhBBCCGloKIgJIYQQQkhDQ0FM5kU0GsVXvvIVNScLC/u+srD/Kwf7vnKw7ysL+98/OKiOEEIIIYQ0NLQQE0IIIYSQhoaCmBBCCCGENDQUxIQQQgghpKGhICaEEEIIIQ0NBTGZM9deey1Wr16NpqYmnHjiiXj00Ucr3aS65P7778fb3vY2lWlHsifeeuutWftlXOxll12GpUuXorm5GWeddRZeeumlirW3nrj66qtx/PHHq8yVixYtwvnnn4+NGzdmlZmamsKnPvUpdHd3o7W1Fe9617uwZ8+eirW5Xvje976Ho446yk1AcNJJJ+GPf/yju5/9vnB84xvfUN89F110kbuN/e8fl19+uepv73TIIYe4+9n3/kBBTObEL37xC1x88cUq/MuTTz6Jo48+GmeffTb27t1b6abVHePj46p/5QEkH9/61rdwzTXX4Pvf/z4eeeQRtLS0qL+FfGmS+XHfffepH56HH34Yd955J1KpFN7ylreov4nD5z73Ofzud7/DTTfdpMpL6vd3vvOdFW13PSAZQ0WIPfHEE3j88cfxpje9Ceeddx6ef/55tZ/9vjA89thjuO6669TDiRf2v78cfvjh2LVrlzs9+OCD7j72vU9I2DVCSuWEE04wP/WpT7nruq6by5YtM6+++uqKtqvekY/sLbfc4q4bhmEuWbLE/Od//md329DQkBmNRs2f//znFWpl/bJ37171N7jvvvvcvg6Hw+ZNN93kllm/fr0qs27dugq2tD6Jx+PmD37wA/b7AjE6OmoeeOCB5p133mm+8Y1vND/72c+q7ex/f/nKV75iHn300Xn3se/9gxZiUjLJZFJZbeTVvEMgEFDr69atq2jbGo0tW7Zg9+7dWX8LydsuLiz8W5Sf4eFhNe/q6lJz+RyI1djb//Jqc+XKlez/MqLrOm688UZlmRfXCfb7wiBvR84999ysfhbY//4jbm/iJrf//vvjb/7mb7Bt2za1nX3vHyEf6yZ1Sl9fn/qBWrx4cdZ2Wd+wYUPF2tWIiBgW8v0tnH2kPBiGoXwoTznlFBxxxBFqm/RxJBJBZ2dnVln2f3l49tlnlQAW9x/xlbzllltw2GGH4amnnmK/+4w8gIg7nLhM5ML73l/EoHHDDTfg4IMPVu4SV1xxBU499VQ899xz7HsfoSAmhJAirWXyg+T15SP+IoJAxK9Y5m+++WZccMEFymeS+Mv27dvx2c9+VvnNy6BpsrCcc8457rL4botAXrVqFX75y1+qgdPEH+gyQUqmp6cHwWBw2qhWWV+yZEnF2tWIOP3Nv4W/fPrTn8bvf/97rF27Vg32cpA+FheioaGhrPLs//IglrADDjgAxx57rIr4IYNLv/vd77LffUZey8sA6de97nUIhUJqkgcRGbwry2KNZP8vHGINPuigg7Bp0ybe+z5CQUzm9CMlP1B333131utkWZfXm2ThWLNmjfoS9P4tRkZGVLQJ/i3mj4xjFDEsr+rvuece1d9e5HMQDoez+l/Csom/H/u//Mj3TCKRYL/7zJlnnqncVcQ670zHHXec8mV1ltn/C8fY2Bg2b96sQmvy3vcPukyQOSEh1+T1pXwxnnDCCfjOd76jBrx86EMfqnTT6vLLUCwD3oF08qMkA7tkIIX4tX71q1/FgQceqATbl7/8ZTUYQ2Lmkvm7SfzsZz/Db37zGxWL2PHRk4GL8upS5h/5yEfU50H+HhIv9x/+4R/UD9PrX//6Sje/prn00kvVq2O5x0dHR9Xf4d5778X//u//st99Ru51x0/eQcI5StxbZzv73z8uueQSFXte3CQkpJqEN5W3su973/t47/uJjxEsSJ3zb//2b+bKlSvNSCSiwrA9/PDDlW5SXbJ27VoVUid3uuCCC9zQa1/+8pfNxYsXq3BrZ555prlx48ZKN7suyNfvMv3oRz9yy0xOTpqf/OQnVUiwWCxmvuMd7zB37dpV0XbXAx/+8IfNVatWqe+X3t5edV/fcccd7n72+8LiDbsmsP/94z3veY+5dOlSde8vX75crW/atMndz773B03+56viJoQQQgghpIqhDzEhhBBCCGloKIgJIYQQQkhDQ0FMCCGEEEIaGgpiQgghhBDS0FAQE0IIIYSQhoaCmBBCCCGENDQUxIQQQgghpKGhICaEkDph9erV0DRNTUNDQwt+fskk55yfmRIJIbUEBTEhhFQRXlGZbzrjjDNmPP7KK6/Erl27VIrXhebkk09W5/7rv/7rBT83IYTMh9C8jiaEEOKLqMzlt7/9LT7xiU/gk5/85IzHt7W1YcmSJagEkUhEnbu5uRmJRKIibSCEkLlACzEhhFQRjqj0ToODg7jkkkvwf/7P/8G73/3ukuq74YYb0NnZid///vc4+OCDEYvF8Fd/9VeYmJjAj3/8Y+VmEY/H8ZnPfAa6rrvHyfavfvWr+OAHP4jW1lasWrVKifJ9+/bhvPPOU9uOOuooPP744z70AiGELCwUxIQQUsWIL7AI0NNPPx1XXXXVnOoQ8XvNNdfgxhtvxO23367cMt7xjnfgD3/4g5r++7//G9dddx1uvvnmrOP+9V//Faeccgr+/Oc/49xzz8Xf/u3fKoH8gQ98AE8++SRe85rXqHXTNMt0tYQQUhnoMkEIIVWKYRh4//vfj1AohP/5n/9RPsRzIZVK4Xvf+54SsIJYiEUE79mzR1l6DzvsMOWbvHbtWrznPe9xj/uLv/gLfPzjH1fLl112marj+OOPd63UX/jCF3DSSSepeirlpkEIIeWAgpgQQqoUcZFYt24dHn30UeUbPFfETcIRw8LixYuVS4SIYe+2vXv3Zh0nLhHe/cKRRx45bZscR0FMCKllKIgJIaQKEfeGf/mXf8Ftt92GAw88cF51hcPhrHWxNOfbJhbpQsc51ul823KPI4SQWoM+xIQQUmU89dRT+MhHPoJvfOMbOPvssyvdHEIIqXtoISaEkCqir69PJbWQQXQyeG337t1Z+4PBIHp7eyvWPkIIqUcoiAkhpIoQF4mtW7eqaenSpdP2S/izV155pSJtI4SQekUzGS+HEELqAhkod9FFF6mpklx44YUqXNytt95a0XYQQkix0IeYEELqCAmFJtEjhoeHF/zcDzzwgDq3hIgjhJBaghZiQgipE8TNQmIOC/vvvz8CgYW1eUxOTmLHjh1qWYQxQ7ERQmoFCmJCCCGEENLQ0GWCEEIIIYQ0NBTEhBBCCCGkoaEgJoQQQgghDQ0FMSGEEEIIaWgoiAkhhBBCSENDQUwIIYQQQhoaCmJCCCGEENLQUBATQgghhJCGhoKYEEIIIYSgkfn/lZMjnEU5eRgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lens2 = optic.Optic()\n",
    "\n",
    "lens2.add_surface(index=0, radius=np.inf, thickness=-np.inf)\n",
    "lens2.add_surface(index=1, thickness=10)\n",
    "lens2.add_surface(\n",
    "    index=2, thickness=5, material=\"bk7\", surface_type=\"standard\"\n",
    ")  # material in\n",
    "lens2.add_surface(\n",
    "    index=3, thickness=10, material=\"air\", surface_type=\"standard\"\n",
    ")  # material out\n",
    "lens2.add_surface(\n",
    "    index=4, thickness=0, material=\"mirror\", rx=-np.pi / 4, is_stop=True\n",
    ")  # first mirror\n",
    "lens2.add_surface(\n",
    "    index=5, thickness=20, dy=-15, material=\"mirror\", rx=-np.pi / 4\n",
    ")  # second mirror\n",
    "lens2.add_surface(\n",
    "    index=6, thickness=0, dy=-15, material=\"mirror\", rx=np.pi / 4\n",
    ")  # third mirror\n",
    "lens2.add_surface(\n",
    "    index=7, thickness=0, dy=-10, radius=-30, material=\"bk7\", rx=np.pi / 2\n",
    ")  # material in\n",
    "lens2.add_surface(\n",
    "    index=8, thickness=0, dy=-5, radius=30, material=\"air\", rx=np.pi / 2\n",
    ")  # material out\n",
    "lens2.add_surface(\n",
    "    index=9, thickness=10, dy=10, material=\"mirror\", rx=np.pi / 4\n",
    ")  # fourth mirror\n",
    "lens2.add_surface(index=10, dy=10)  # Image plane\n",
    "\n",
    "# System Settings\n",
    "lens2.set_aperture(aperture_type=\"EPD\", value=5.0)\n",
    "lens2.set_field_type(field_type=\"angle\")\n",
    "lens2.add_field(y=-0.5)\n",
    "lens2.add_field(y=0)\n",
    "lens2.add_field(y=0.5)\n",
    "lens2.add_wavelength(value=0.633, is_primary=True)\n",
    "\n",
    "# visulaize the system\n",
    "lens2.draw()\n",
    "lens2.draw3D(num_rays=10)"
   ]
  },
  {
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   "metadata": {},
   "source": [
    "**Conclusion:** <br>\n",
    "We have explored the surfaces' coordinate systems in Optiland, as well as providing two approaches to design complex optical systems which involve several changes in coordinates, as it happens with folding mirrors. The first approach presents itself as a more intuitive method, since we are effectively localizing each surface according to its coordinate system in the 3D space. The second approach, however, involves considering that after folding mirrors, the translation happens in another axis and special care is needed to ensure the correct modelling of the system. "
   ]
  }
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